Finding the Third Proportional to 6,540.38 and 14,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,540.38 : 14,362.50 = 14,362.50 : x
2. Step 2: Convert to fraction form
   6,540.38/14,362.50 = 14,362.50/x
3. Step 3: Cross multiply
   6,540.38x = 14,362.50 × 14,362.50
4. Step 4: Simplify right side
   6,540.38x = 206,281,406.25
5. Step 5: Solve for x
   x = 206,281,406.25/6,540.38
6. Step 6: Final answer
   x = 31,539.69