Finding the Third Proportional to 4,146.75 and 9,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,146.75 : 9,113.50 = 9,113.50 : x
2. Step 2: Convert to fraction form
   4,146.75/9,113.50 = 9,113.50/x
3. Step 3: Cross multiply
   4,146.75x = 9,113.50 × 9,113.50
4. Step 4: Simplify right side
   4,146.75x = 83,055,882.25
5. Step 5: Solve for x
   x = 83,055,882.25/4,146.75
6. Step 6: Final answer
   x = 20,029.15