Finding the Third Proportional to 64.76 and 100.42

Step by Step Solution

1. Step 1: Write the proportion equation
   64.76 : 100.42 = 100.42 : x
2. Step 2: Convert to fraction form
   64.76/100.42 = 100.42/x
3. Step 3: Cross multiply
   64.76x = 100.42 × 100.42
4. Step 4: Simplify right side
   64.76x = 10,084.06
5. Step 5: Solve for x
   x = 10,084.06/64.76
6. Step 6: Final answer
   x = 155.72