Finding the Third Proportional to 56.76 and 89.20

Step by Step Solution

1. Step 1: Write the proportion equation
   56.76 : 89.20 = 89.20 : x
2. Step 2: Convert to fraction form
   56.76/89.20 = 89.20/x
3. Step 3: Cross multiply
   56.76x = 89.20 × 89.20
4. Step 4: Simplify right side
   56.76x = 7,956.75
5. Step 5: Solve for x
   x = 7,956.75/56.76
6. Step 6: Final answer
   x = 140.17