Finding the Third Proportional to 932.34 and 2,141.86

Step by Step Solution

1. Step 1: Write the proportion equation
   932.34 : 2,141.86 = 2,141.86 : x
2. Step 2: Convert to fraction form
   932.34/2,141.86 = 2,141.86/x
3. Step 3: Cross multiply
   932.34x = 2,141.86 × 2,141.86
4. Step 4: Simplify right side
   932.34x = 4,587,561.58
5. Step 5: Solve for x
   x = 4,587,561.58/932.34
6. Step 6: Final answer
   x = 4,920.46