Finding the Third Proportional to 14,638.50 and 22,655.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,638.50 : 22,655.25 = 22,655.25 : x
2. Step 2: Convert to fraction form
   14,638.50/22,655.25 = 22,655.25/x
3. Step 3: Cross multiply
   14,638.50x = 22,655.25 × 22,655.25
4. Step 4: Simplify right side
   14,638.50x = 513,260,352.56
5. Step 5: Solve for x
   x = 513,260,352.56/14,638.50
6. Step 6: Final answer
   x = 35,062.36