Finding the Third Proportional to 14,538 and 22,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,538 : 22,507.50 = 22,507.50 : x
2. Step 2: Convert to fraction form
   14,538/22,507.50 = 22,507.50/x
3. Step 3: Cross multiply
   14,538x = 22,507.50 × 22,507.50
4. Step 4: Simplify right side
   14,538x = 506,587,556.25
5. Step 5: Solve for x
   x = 506,587,556.25/14,538
6. Step 6: Final answer
   x = 34,845.75