Finding the Third Proportional to 877.50 and 947.25

Step by Step Solution

1. Step 1: Write the proportion equation
   877.50 : 947.25 = 947.25 : x
2. Step 2: Convert to fraction form
   877.50/947.25 = 947.25/x
3. Step 3: Cross multiply
   877.50x = 947.25 × 947.25
4. Step 4: Simplify right side
   877.50x = 897,282.56
5. Step 5: Solve for x
   x = 897,282.56/877.50
6. Step 6: Final answer
   x = 1,022.54