Finding the Third Proportional to 38,900 and 83,714

Step by Step Solution

1. Step 1: Write the proportion equation
   38,900 : 83,714 = 83,714 : x
2. Step 2: Convert to fraction form
   38,900/83,714 = 83,714/x
3. Step 3: Cross multiply
   38,900x = 83,714 × 83,714
4. Step 4: Simplify right side
   38,900x = 7,008,033,796
5. Step 5: Solve for x
   x = 7,008,033,796/38,900
6. Step 6: Final answer
   x = 180,155.11