Finding the Third Proportional to 42.71 and 90.77

Step by Step Solution

1. Step 1: Write the proportion equation
   42.71 : 90.77 = 90.77 : x
2. Step 2: Convert to fraction form
   42.71/90.77 = 90.77/x
3. Step 3: Cross multiply
   42.71x = 90.77 × 90.77
4. Step 4: Simplify right side
   42.71x = 8,239.02
5. Step 5: Solve for x
   x = 8,239.02/42.71
6. Step 6: Final answer
   x = 192.88