Finding the Third Proportional to 59.53 and 92.16

Step by Step Solution

1. Step 1: Write the proportion equation
   59.53 : 92.16 = 92.16 : x
2. Step 2: Convert to fraction form
   59.53/92.16 = 92.16/x
3. Step 3: Cross multiply
   59.53x = 92.16 × 92.16
4. Step 4: Simplify right side
   59.53x = 8,492.77
5. Step 5: Solve for x
   x = 8,492.77/59.53
6. Step 6: Final answer
   x = 142.66