Finding the Third Proportional to 10,109.25 and 16,702.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.25 : 16,702.88 = 16,702.88 : x
2. Step 2: Convert to fraction form
   10,109.25/16,702.88 = 16,702.88/x
3. Step 3: Cross multiply
   10,109.25x = 16,702.88 × 16,702.88
4. Step 4: Simplify right side
   10,109.25x = 278,986,033.27
5. Step 5: Solve for x
   x = 278,986,033.27/10,109.25
6. Step 6: Final answer
   x = 27,597.10