Finding the Third Proportional to 8,637,294,748,516 and 17,989,493,303,336

Step by Step Solution

1. Step 1: Write the proportion equation
   8,637,294,748,516 : 17,989,493,303,336 = 17,989,493,303,336 : x
2. Step 2: Convert to fraction form
   8,637,294,748,516/17,989,493,303,336 = 17,989,493,303,336/x
3. Step 3: Cross multiply
   8,637,294,748,516x = 17,989,493,303,336 × 17,989,493,303,336
4. Step 4: Simplify right side
   8,637,294,748,516x = 323,621,869,310,770,818,117,009,408
5. Step 5: Solve for x
   x = 323,621,869,310,770,818,117,009,408/8,637,294,748,516
6. Step 6: Final answer
   x = 37,467,966,386,856.63