Finding the Third Proportional to 830.50 and 932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   830.50 : 932.50 = 932.50 : x
2. Step 2: Convert to fraction form
   830.50/932.50 = 932.50/x
3. Step 3: Cross multiply
   830.50x = 932.50 × 932.50
4. Step 4: Simplify right side
   830.50x = 869,556.25
5. Step 5: Solve for x
   x = 869,556.25/830.50
6. Step 6: Final answer
   x = 1,047.03