Finding the Third Proportional to 14,649 and 22,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,649 : 22,672.50 = 22,672.50 : x
2. Step 2: Convert to fraction form
   14,649/22,672.50 = 22,672.50/x
3. Step 3: Cross multiply
   14,649x = 22,672.50 × 22,672.50
4. Step 4: Simplify right side
   14,649x = 514,042,256.25
5. Step 5: Solve for x
   x = 514,042,256.25/14,649
6. Step 6: Final answer
   x = 35,090.60