Finding the Third Proportional to 6,507.50 and 14,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507.50 : 14,108.50 = 14,108.50 : x
2. Step 2: Convert to fraction form
   6,507.50/14,108.50 = 14,108.50/x
3. Step 3: Cross multiply
   6,507.50x = 14,108.50 × 14,108.50
4. Step 4: Simplify right side
   6,507.50x = 199,049,772.25
5. Step 5: Solve for x
   x = 199,049,772.25/6,507.50
6. Step 6: Final answer
   x = 30,587.75