Finding the Third Proportional to 59.63 and 86.63

Step by Step Solution

1. Step 1: Write the proportion equation
   59.63 : 86.63 = 86.63 : x
2. Step 2: Convert to fraction form
   59.63/86.63 = 86.63/x
3. Step 3: Cross multiply
   59.63x = 86.63 × 86.63
4. Step 4: Simplify right side
   59.63x = 7,503.89
5. Step 5: Solve for x
   x = 7,503.89/59.63
6. Step 6: Final answer
   x = 125.85