Finding the Third Proportional to 45.80 and 59.41

Step by Step Solution

1. Step 1: Write the proportion equation
   45.80 : 59.41 = 59.41 : x
2. Step 2: Convert to fraction form
   45.80/59.41 = 59.41/x
3. Step 3: Cross multiply
   45.80x = 59.41 × 59.41
4. Step 4: Simplify right side
   45.80x = 3,528.99
5. Step 5: Solve for x
   x = 3,528.99/45.80
6. Step 6: Final answer
   x = 77.05