Finding the Third Proportional to 42.61 and 59.80

Step by Step Solution

1. Step 1: Write the proportion equation
   42.61 : 59.80 = 59.80 : x
2. Step 2: Convert to fraction form
   42.61/59.80 = 59.80/x
3. Step 3: Cross multiply
   42.61x = 59.80 × 59.80
4. Step 4: Simplify right side
   42.61x = 3,576.13
5. Step 5: Solve for x
   x = 3,576.13/42.61
6. Step 6: Final answer
   x = 83.93