Finding the Third Proportional to 6,259.50 and 14,663.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,259.50 : 14,663.25 = 14,663.25 : x
2. Step 2: Convert to fraction form
   6,259.50/14,663.25 = 14,663.25/x
3. Step 3: Cross multiply
   6,259.50x = 14,663.25 × 14,663.25
4. Step 4: Simplify right side
   6,259.50x = 215,010,900.56
5. Step 5: Solve for x
   x = 215,010,900.56/6,259.50
6. Step 6: Final answer
   x = 34,349.53