Finding the Third Proportional to 38,904 and 83,722

Step by Step Solution

1. Step 1: Write the proportion equation
   38,904 : 83,722 = 83,722 : x
2. Step 2: Convert to fraction form
   38,904/83,722 = 83,722/x
3. Step 3: Cross multiply
   38,904x = 83,722 × 83,722
4. Step 4: Simplify right side
   38,904x = 7,009,373,284
5. Step 5: Solve for x
   x = 7,009,373,284/38,904
6. Step 6: Final answer
   x = 180,171.02