Finding the Third Proportional to 24,628 and 37,900

Step by Step Solution

1. Step 1: Write the proportion equation
   24,628 : 37,900 = 37,900 : x
2. Step 2: Convert to fraction form
   24,628/37,900 = 37,900/x
3. Step 3: Cross multiply
   24,628x = 37,900 × 37,900
4. Step 4: Simplify right side
   24,628x = 1,436,410,000
5. Step 5: Solve for x
   x = 1,436,410,000/24,628
6. Step 6: Final answer
   x = 58,324.27