Finding the Third Proportional to 31,509 and 40,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509 : 40,585.50 = 40,585.50 : x
2. Step 2: Convert to fraction form
   31,509/40,585.50 = 40,585.50/x
3. Step 3: Cross multiply
   31,509x = 40,585.50 × 40,585.50
4. Step 4: Simplify right side
   31,509x = 1,647,182,810.25
5. Step 5: Solve for x
   x = 1,647,182,810.25/31,509
6. Step 6: Final answer
   x = 52,276.58