Finding the Third Proportional to 23,140 and 49,628

Step by Step Solution

1. Step 1: Write the proportion equation
   23,140 : 49,628 = 49,628 : x
2. Step 2: Convert to fraction form
   23,140/49,628 = 49,628/x
3. Step 3: Cross multiply
   23,140x = 49,628 × 49,628
4. Step 4: Simplify right side
   23,140x = 2,462,938,384
5. Step 5: Solve for x
   x = 2,462,938,384/23,140
6. Step 6: Final answer
   x = 106,436.40