Finding the Third Proportional to 2,357.86 and 5,702.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.86 : 5,702.91 = 5,702.91 : x
2. Step 2: Convert to fraction form
   2,357.86/5,702.91 = 5,702.91/x
3. Step 3: Cross multiply
   2,357.86x = 5,702.91 × 5,702.91
4. Step 4: Simplify right side
   2,357.86x = 32,523,139.70
5. Step 5: Solve for x
   x = 32,523,139.70/2,357.86
6. Step 6: Final answer
   x = 13,793.50