Finding the Third Proportional to 36,596 and 56,496

Step by Step Solution

1. Step 1: Write the proportion equation
   36,596 : 56,496 = 56,496 : x
2. Step 2: Convert to fraction form
   36,596/56,496 = 56,496/x
3. Step 3: Cross multiply
   36,596x = 56,496 × 56,496
4. Step 4: Simplify right side
   36,596x = 3,191,798,016
5. Step 5: Solve for x
   x = 3,191,798,016/36,596
6. Step 6: Final answer
   x = 87,217.13