Finding the Third Proportional to 37,366 and 56,496

Step by Step Solution

1. Step 1: Write the proportion equation
   37,366 : 56,496 = 56,496 : x
2. Step 2: Convert to fraction form
   37,366/56,496 = 56,496/x
3. Step 3: Cross multiply
   37,366x = 56,496 × 56,496
4. Step 4: Simplify right side
   37,366x = 3,191,798,016
5. Step 5: Solve for x
   x = 3,191,798,016/37,366
6. Step 6: Final answer
   x = 85,419.85