Finding the Third Proportional to 14,577 and 31,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,577 : 31,789.50 = 31,789.50 : x
2. Step 2: Convert to fraction form
   14,577/31,789.50 = 31,789.50/x
3. Step 3: Cross multiply
   14,577x = 31,789.50 × 31,789.50
4. Step 4: Simplify right side
   14,577x = 1,010,572,310.25
5. Step 5: Solve for x
   x = 1,010,572,310.25/14,577
6. Step 6: Final answer
   x = 69,326.49