Finding the Third Proportional to 6,643.90 and 10,194.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,643.90 : 10,194.61 = 10,194.61 : x
2. Step 2: Convert to fraction form
   6,643.90/10,194.61 = 10,194.61/x
3. Step 3: Cross multiply
   6,643.90x = 10,194.61 × 10,194.61
4. Step 4: Simplify right side
   6,643.90x = 103,930,060.31
5. Step 5: Solve for x
   x = 103,930,060.31/6,643.90
6. Step 6: Final answer
   x = 15,642.93