Finding the Third Proportional to 762.50 and 842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   762.50 : 842.50 = 842.50 : x
2. Step 2: Convert to fraction form
   762.50/842.50 = 842.50/x
3. Step 3: Cross multiply
   762.50x = 842.50 × 842.50
4. Step 4: Simplify right side
   762.50x = 709,806.25
5. Step 5: Solve for x
   x = 709,806.25/762.50
6. Step 6: Final answer
   x = 930.89