Finding the Third Proportional to 45,632 and 61,536

Step by Step Solution

1. Step 1: Write the proportion equation
   45,632 : 61,536 = 61,536 : x
2. Step 2: Convert to fraction form
   45,632/61,536 = 61,536/x
3. Step 3: Cross multiply
   45,632x = 61,536 × 61,536
4. Step 4: Simplify right side
   45,632x = 3,786,679,296
5. Step 5: Solve for x
   x = 3,786,679,296/45,632
6. Step 6: Final answer
   x = 82,982.98