Finding the Third Proportional to 6,499.50 and 14,097

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.50 : 14,097 = 14,097 : x
2. Step 2: Convert to fraction form
   6,499.50/14,097 = 14,097/x
3. Step 3: Cross multiply
   6,499.50x = 14,097 × 14,097
4. Step 4: Simplify right side
   6,499.50x = 198,725,409
5. Step 5: Solve for x
   x = 198,725,409/6,499.50
6. Step 6: Final answer
   x = 30,575.49