Finding the Third Proportional to 56.58 and 89.72

Step by Step Solution

1. Step 1: Write the proportion equation
   56.58 : 89.72 = 89.72 : x
2. Step 2: Convert to fraction form
   56.58/89.72 = 89.72/x
3. Step 3: Cross multiply
   56.58x = 89.72 × 89.72
4. Step 4: Simplify right side
   56.58x = 8,049.45
5. Step 5: Solve for x
   x = 8,049.45/56.58
6. Step 6: Final answer
   x = 142.27