Finding the Third Proportional to 6,513.75 and 14,419.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,513.75 : 14,419.69 = 14,419.69 : x
2. Step 2: Convert to fraction form
   6,513.75/14,419.69 = 14,419.69/x
3. Step 3: Cross multiply
   6,513.75x = 14,419.69 × 14,419.69
4. Step 4: Simplify right side
   6,513.75x = 207,927,387.60
5. Step 5: Solve for x
   x = 207,927,387.60/6,513.75
6. Step 6: Final answer
   x = 31,921.30