Finding the Third Proportional to 52.50 and 77.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 77.25 = 77.25 : x
2. Step 2: Convert to fraction form
   52.50/77.25 = 77.25/x
3. Step 3: Cross multiply
   52.50x = 77.25 × 77.25
4. Step 4: Simplify right side
   52.50x = 5,967.56
5. Step 5: Solve for x
   x = 5,967.56/52.50
6. Step 6: Final answer
   x = 113.67