Finding the Third Proportional to 64 and 72.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64 : 72.50 = 72.50 : x
2. Step 2: Convert to fraction form
   64/72.50 = 72.50/x
3. Step 3: Cross multiply
   64x = 72.50 × 72.50
4. Step 4: Simplify right side
   64x = 5,256.25
5. Step 5: Solve for x
   x = 5,256.25/64
6. Step 6: Final answer
   x = 82.13