Finding the Third Proportional to 10,123 and 23,641

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123 : 23,641 = 23,641 : x
2. Step 2: Convert to fraction form
   10,123/23,641 = 23,641/x
3. Step 3: Cross multiply
   10,123x = 23,641 × 23,641
4. Step 4: Simplify right side
   10,123x = 558,896,881
5. Step 5: Solve for x
   x = 558,896,881/10,123
6. Step 6: Final answer
   x = 55,210.60