Finding the Third Proportional to 91.78 and 100.78

Step by Step Solution

1. Step 1: Write the proportion equation
   91.78 : 100.78 = 100.78 : x
2. Step 2: Convert to fraction form
   91.78/100.78 = 100.78/x
3. Step 3: Cross multiply
   91.78x = 100.78 × 100.78
4. Step 4: Simplify right side
   91.78x = 10,156.86
5. Step 5: Solve for x
   x = 10,156.86/91.78
6. Step 6: Final answer
   x = 110.66