Finding the Third Proportional to 42.61 and 101.88

Step by Step Solution

1. Step 1: Write the proportion equation
   42.61 : 101.88 = 101.88 : x
2. Step 2: Convert to fraction form
   42.61/101.88 = 101.88/x
3. Step 3: Cross multiply
   42.61x = 101.88 × 101.88
4. Step 4: Simplify right side
   42.61x = 10,380.11
5. Step 5: Solve for x
   x = 10,380.11/42.61
6. Step 6: Final answer
   x = 243.61