Finding the Third Proportional to 24,678 and 37,630

Step by Step Solution

1. Step 1: Write the proportion equation
   24,678 : 37,630 = 37,630 : x
2. Step 2: Convert to fraction form
   24,678/37,630 = 37,630/x
3. Step 3: Cross multiply
   24,678x = 37,630 × 37,630
4. Step 4: Simplify right side
   24,678x = 1,416,016,900
5. Step 5: Solve for x
   x = 1,416,016,900/24,678
6. Step 6: Final answer
   x = 57,379.73