Finding the Third Proportional to 24.83 and 37.78

Step by Step Solution

1. Step 1: Write the proportion equation
   24.83 : 37.78 = 37.78 : x
2. Step 2: Convert to fraction form
   24.83/37.78 = 37.78/x
3. Step 3: Cross multiply
   24.83x = 37.78 × 37.78
4. Step 4: Simplify right side
   24.83x = 1,427.02
5. Step 5: Solve for x
   x = 1,427.02/24.83
6. Step 6: Final answer
   x = 57.48