Finding the Third Proportional to 14,585 and 31,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,585 : 31,995.50 = 31,995.50 : x
2. Step 2: Convert to fraction form
   14,585/31,995.50 = 31,995.50/x
3. Step 3: Cross multiply
   14,585x = 31,995.50 × 31,995.50
4. Step 4: Simplify right side
   14,585x = 1,023,712,020.25
5. Step 5: Solve for x
   x = 1,023,712,020.25/14,585
6. Step 6: Final answer
   x = 70,189.37