Finding the Third Proportional to 61.17 and 89.46

Step by Step Solution

1. Step 1: Write the proportion equation
   61.17 : 89.46 = 89.46 : x
2. Step 2: Convert to fraction form
   61.17/89.46 = 89.46/x
3. Step 3: Cross multiply
   61.17x = 89.46 × 89.46
4. Step 4: Simplify right side
   61.17x = 8,003.26
5. Step 5: Solve for x
   x = 8,003.26/61.17
6. Step 6: Final answer
   x = 130.83