Finding the Third Proportional to 23,008 and 49,778

Step by Step Solution

1. Step 1: Write the proportion equation
   23,008 : 49,778 = 49,778 : x
2. Step 2: Convert to fraction form
   23,008/49,778 = 49,778/x
3. Step 3: Cross multiply
   23,008x = 49,778 × 49,778
4. Step 4: Simplify right side
   23,008x = 2,477,849,284
5. Step 5: Solve for x
   x = 2,477,849,284/23,008
6. Step 6: Final answer
   x = 107,695.12