Finding the Third Proportional to 932 and 1,469.25

Step by Step Solution

1. Step 1: Write the proportion equation
   932 : 1,469.25 = 1,469.25 : x
2. Step 2: Convert to fraction form
   932/1,469.25 = 1,469.25/x
3. Step 3: Cross multiply
   932x = 1,469.25 × 1,469.25
4. Step 4: Simplify right side
   932x = 2,158,695.56
5. Step 5: Solve for x
   x = 2,158,695.56/932
6. Step 6: Final answer
   x = 2,316.20