Finding the Third Proportional to 61.17 and 102.20

Step by Step Solution

1. Step 1: Write the proportion equation
   61.17 : 102.20 = 102.20 : x
2. Step 2: Convert to fraction form
   61.17/102.20 = 102.20/x
3. Step 3: Cross multiply
   61.17x = 102.20 × 102.20
4. Step 4: Simplify right side
   61.17x = 10,444.68
5. Step 5: Solve for x
   x = 10,444.68/61.17
6. Step 6: Final answer
   x = 170.74