Finding the Third Proportional to 59.48 and 90.49

Step by Step Solution

1. Step 1: Write the proportion equation
   59.48 : 90.49 = 90.49 : x
2. Step 2: Convert to fraction form
   59.48/90.49 = 90.49/x
3. Step 3: Cross multiply
   59.48x = 90.49 × 90.49
4. Step 4: Simplify right side
   59.48x = 8,188.84
5. Step 5: Solve for x
   x = 8,188.84/59.48
6. Step 6: Final answer
   x = 137.66