Finding the Third Proportional to 6,490 and 10,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,490 : 10,169.50 = 10,169.50 : x
2. Step 2: Convert to fraction form
   6,490/10,169.50 = 10,169.50/x
3. Step 3: Cross multiply
   6,490x = 10,169.50 × 10,169.50
4. Step 4: Simplify right side
   6,490x = 103,418,730.25
5. Step 5: Solve for x
   x = 103,418,730.25/6,490
6. Step 6: Final answer
   x = 15,935.09