Finding the Third Proportional to 62.25 and 86.25

Step by Step Solution

1. Step 1: Write the proportion equation
   62.25 : 86.25 = 86.25 : x
2. Step 2: Convert to fraction form
   62.25/86.25 = 86.25/x
3. Step 3: Cross multiply
   62.25x = 86.25 × 86.25
4. Step 4: Simplify right side
   62.25x = 7,439.06
5. Step 5: Solve for x
   x = 7,439.06/62.25
6. Step 6: Final answer
   x = 119.50