Finding the Third Proportional to 35,748 and 78,498

Step by Step Solution

1. Step 1: Write the proportion equation
   35,748 : 78,498 = 78,498 : x
2. Step 2: Convert to fraction form
   35,748/78,498 = 78,498/x
3. Step 3: Cross multiply
   35,748x = 78,498 × 78,498
4. Step 4: Simplify right side
   35,748x = 6,161,936,004
5. Step 5: Solve for x
   x = 6,161,936,004/35,748
6. Step 6: Final answer
   x = 172,371.49