Finding the Third Proportional to 657.50 and 947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   657.50 : 947.50 = 947.50 : x
2. Step 2: Convert to fraction form
   657.50/947.50 = 947.50/x
3. Step 3: Cross multiply
   657.50x = 947.50 × 947.50
4. Step 4: Simplify right side
   657.50x = 897,756.25
5. Step 5: Solve for x
   x = 897,756.25/657.50
6. Step 6: Final answer
   x = 1,365.41