Finding the Third Proportional to 49,688 and 73,856

Step by Step Solution

1. Step 1: Write the proportion equation
   49,688 : 73,856 = 73,856 : x
2. Step 2: Convert to fraction form
   49,688/73,856 = 73,856/x
3. Step 3: Cross multiply
   49,688x = 73,856 × 73,856
4. Step 4: Simplify right side
   49,688x = 5,454,708,736
5. Step 5: Solve for x
   x = 5,454,708,736/49,688
6. Step 6: Final answer
   x = 109,779.20