Finding the Third Proportional to 59.30 and 89.74

Step by Step Solution

1. Step 1: Write the proportion equation
   59.30 : 89.74 = 89.74 : x
2. Step 2: Convert to fraction form
   59.30/89.74 = 89.74/x
3. Step 3: Cross multiply
   59.30x = 89.74 × 89.74
4. Step 4: Simplify right side
   59.30x = 8,053.40
5. Step 5: Solve for x
   x = 8,053.40/59.30
6. Step 6: Final answer
   x = 135.81