Finding the Third Proportional to 23,416 and 49,588

Step by Step Solution

1. Step 1: Write the proportion equation
   23,416 : 49,588 = 49,588 : x
2. Step 2: Convert to fraction form
   23,416/49,588 = 49,588/x
3. Step 3: Cross multiply
   23,416x = 49,588 × 49,588
4. Step 4: Simplify right side
   23,416x = 2,458,969,744
5. Step 5: Solve for x
   x = 2,458,969,744/23,416
6. Step 6: Final answer
   x = 105,012.37