Finding the Third Proportional to 64.78 and 90.52

Step by Step Solution

1. Step 1: Write the proportion equation
   64.78 : 90.52 = 90.52 : x
2. Step 2: Convert to fraction form
   64.78/90.52 = 90.52/x
3. Step 3: Cross multiply
   64.78x = 90.52 × 90.52
4. Step 4: Simplify right side
   64.78x = 8,193.08
5. Step 5: Solve for x
   x = 8,193.08/64.78
6. Step 6: Final answer
   x = 126.47