Finding the Third Proportional to 4,191.75 and 10,414.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,191.75 : 10,414.69 = 10,414.69 : x
2. Step 2: Convert to fraction form
   4,191.75/10,414.69 = 10,414.69/x
3. Step 3: Cross multiply
   4,191.75x = 10,414.69 × 10,414.69
4. Step 4: Simplify right side
   4,191.75x = 108,465,715.72
5. Step 5: Solve for x
   x = 108,465,715.72/4,191.75
6. Step 6: Final answer
   x = 25,876.00