Finding the Third Proportional to 24,774 and 37,158

Step by Step Solution

1. Step 1: Write the proportion equation
   24,774 : 37,158 = 37,158 : x
2. Step 2: Convert to fraction form
   24,774/37,158 = 37,158/x
3. Step 3: Cross multiply
   24,774x = 37,158 × 37,158
4. Step 4: Simplify right side
   24,774x = 1,380,716,964
5. Step 5: Solve for x
   x = 1,380,716,964/24,774
6. Step 6: Final answer
   x = 55,732.50