Finding the Third Proportional to 22,900 and 49,688

Step by Step Solution

1. Step 1: Write the proportion equation
   22,900 : 49,688 = 49,688 : x
2. Step 2: Convert to fraction form
   22,900/49,688 = 49,688/x
3. Step 3: Cross multiply
   22,900x = 49,688 × 49,688
4. Step 4: Simplify right side
   22,900x = 2,468,897,344
5. Step 5: Solve for x
   x = 2,468,897,344/22,900
6. Step 6: Final answer
   x = 107,812.11