Finding the Third Proportional to 932 and 1,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   932 : 1,985.50 = 1,985.50 : x
2. Step 2: Convert to fraction form
   932/1,985.50 = 1,985.50/x
3. Step 3: Cross multiply
   932x = 1,985.50 × 1,985.50
4. Step 4: Simplify right side
   932x = 3,942,210.25
5. Step 5: Solve for x
   x = 3,942,210.25/932
6. Step 6: Final answer
   x = 4,229.84