Finding the Third Proportional to 2,332.69 and 5,166.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,332.69 : 5,166.56 = 5,166.56 : x
2. Step 2: Convert to fraction form
   2,332.69/5,166.56 = 5,166.56/x
3. Step 3: Cross multiply
   2,332.69x = 5,166.56 × 5,166.56
4. Step 4: Simplify right side
   2,332.69x = 26,693,368.07
5. Step 5: Solve for x
   x = 26,693,368.07/2,332.69
6. Step 6: Final answer
   x = 11,443.18