Finding the Third Proportional to 23,120 and 49,516

Step by Step Solution

1. Step 1: Write the proportion equation
   23,120 : 49,516 = 49,516 : x
2. Step 2: Convert to fraction form
   23,120/49,516 = 49,516/x
3. Step 3: Cross multiply
   23,120x = 49,516 × 49,516
4. Step 4: Simplify right side
   23,120x = 2,451,834,256
5. Step 5: Solve for x
   x = 2,451,834,256/23,120
6. Step 6: Final answer
   x = 106,048.19