Finding the Third Proportional to 31,589.50 and 52,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,589.50 : 52,640.50 = 52,640.50 : x
2. Step 2: Convert to fraction form
   31,589.50/52,640.50 = 52,640.50/x
3. Step 3: Cross multiply
   31,589.50x = 52,640.50 × 52,640.50
4. Step 4: Simplify right side
   31,589.50x = 2,771,022,240.25
5. Step 5: Solve for x
   x = 2,771,022,240.25/31,589.50
6. Step 6: Final answer
   x = 87,719.72