Finding the Third Proportional to 61.38 and 89.86

Step by Step Solution

1. Step 1: Write the proportion equation
   61.38 : 89.86 = 89.86 : x
2. Step 2: Convert to fraction form
   61.38/89.86 = 89.86/x
3. Step 3: Cross multiply
   61.38x = 89.86 × 89.86
4. Step 4: Simplify right side
   61.38x = 8,074.71
5. Step 5: Solve for x
   x = 8,074.71/61.38
6. Step 6: Final answer
   x = 131.55