Finding the Third Proportional to 37,660 and 56,492

Step by Step Solution

1. Step 1: Write the proportion equation
   37,660 : 56,492 = 56,492 : x
2. Step 2: Convert to fraction form
   37,660/56,492 = 56,492/x
3. Step 3: Cross multiply
   37,660x = 56,492 × 56,492
4. Step 4: Simplify right side
   37,660x = 3,191,346,064
5. Step 5: Solve for x
   x = 3,191,346,064/37,660
6. Step 6: Final answer
   x = 84,741.00