Finding the Third Proportional to 2,689.50 and 4,156.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,689.50 : 4,156.13 = 4,156.13 : x
2. Step 2: Convert to fraction form
   2,689.50/4,156.13 = 4,156.13/x
3. Step 3: Cross multiply
   2,689.50x = 4,156.13 × 4,156.13
4. Step 4: Simplify right side
   2,689.50x = 17,273,375.02
5. Step 5: Solve for x
   x = 17,273,375.02/2,689.50
6. Step 6: Final answer
   x = 6,422.52