Finding the Third Proportional to 14,533 and 22,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,533 : 22,498.50 = 22,498.50 : x
2. Step 2: Convert to fraction form
   14,533/22,498.50 = 22,498.50/x
3. Step 3: Cross multiply
   14,533x = 22,498.50 × 22,498.50
4. Step 4: Simplify right side
   14,533x = 506,182,502.25
5. Step 5: Solve for x
   x = 506,182,502.25/14,533
6. Step 6: Final answer
   x = 34,829.87