Finding the Third Proportional to 56.53 and 89.86

Step by Step Solution

1. Step 1: Write the proportion equation
   56.53 : 89.86 = 89.86 : x
2. Step 2: Convert to fraction form
   56.53/89.86 = 89.86/x
3. Step 3: Cross multiply
   56.53x = 89.86 × 89.86
4. Step 4: Simplify right side
   56.53x = 8,074.71
5. Step 5: Solve for x
   x = 8,074.71/56.53
6. Step 6: Final answer
   x = 142.84