Finding the Third Proportional to 6,486 and 10,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,486 : 10,097.50 = 10,097.50 : x
2. Step 2: Convert to fraction form
   6,486/10,097.50 = 10,097.50/x
3. Step 3: Cross multiply
   6,486x = 10,097.50 × 10,097.50
4. Step 4: Simplify right side
   6,486x = 101,959,506.25
5. Step 5: Solve for x
   x = 101,959,506.25/6,486
6. Step 6: Final answer
   x = 15,719.94