Finding the Third Proportional to 42.50 and 80.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42.50 : 80.63 = 80.63 : x
2. Step 2: Convert to fraction form
   42.50/80.63 = 80.63/x
3. Step 3: Cross multiply
   42.50x = 80.63 × 80.63
4. Step 4: Simplify right side
   42.50x = 6,500.39
5. Step 5: Solve for x
   x = 6,500.39/42.50
6. Step 6: Final answer
   x = 152.95