Finding the Third Proportional to 74.71 and 100.86

Step by Step Solution

1. Step 1: Write the proportion equation
   74.71 : 100.86 = 100.86 : x
2. Step 2: Convert to fraction form
   74.71/100.86 = 100.86/x
3. Step 3: Cross multiply
   74.71x = 100.86 × 100.86
4. Step 4: Simplify right side
   74.71x = 10,173.40
5. Step 5: Solve for x
   x = 10,173.40/74.71
6. Step 6: Final answer
   x = 136.18