Finding the Third Proportional to 39,724 and 59,045

Step by Step Solution

1. Step 1: Write the proportion equation
   39,724 : 59,045 = 59,045 : x
2. Step 2: Convert to fraction form
   39,724/59,045 = 59,045/x
3. Step 3: Cross multiply
   39,724x = 59,045 × 59,045
4. Step 4: Simplify right side
   39,724x = 3,486,312,025
5. Step 5: Solve for x
   x = 3,486,312,025/39,724
6. Step 6: Final answer
   x = 87,763.37