Finding the Third Proportional to 45,138 and 69,856

Step by Step Solution

1. Step 1: Write the proportion equation
   45,138 : 69,856 = 69,856 : x
2. Step 2: Convert to fraction form
   45,138/69,856 = 69,856/x
3. Step 3: Cross multiply
   45,138x = 69,856 × 69,856
4. Step 4: Simplify right side
   45,138x = 4,879,860,736
5. Step 5: Solve for x
   x = 4,879,860,736/45,138
6. Step 6: Final answer
   x = 108,109.81