Finding the Third Proportional to 1,932.19 and 4,159.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,932.19 : 4,159.69 = 4,159.69 : x
2. Step 2: Convert to fraction form
   1,932.19/4,159.69 = 4,159.69/x
3. Step 3: Cross multiply
   1,932.19x = 4,159.69 × 4,159.69
4. Step 4: Simplify right side
   1,932.19x = 17,303,000.10
5. Step 5: Solve for x
   x = 17,303,000.10/1,932.19
6. Step 6: Final answer
   x = 8,955.14