Finding the Third Proportional to 23,051 and 49,738

Step by Step Solution

1. Step 1: Write the proportion equation
   23,051 : 49,738 = 49,738 : x
2. Step 2: Convert to fraction form
   23,051/49,738 = 49,738/x
3. Step 3: Cross multiply
   23,051x = 49,738 × 49,738
4. Step 4: Simplify right side
   23,051x = 2,473,868,644
5. Step 5: Solve for x
   x = 2,473,868,644/23,051
6. Step 6: Final answer
   x = 107,321.53