Finding the Third Proportional to 38,789 and 83,767

Step by Step Solution

1. Step 1: Write the proportion equation
   38,789 : 83,767 = 83,767 : x
2. Step 2: Convert to fraction form
   38,789/83,767 = 83,767/x
3. Step 3: Cross multiply
   38,789x = 83,767 × 83,767
4. Step 4: Simplify right side
   38,789x = 7,016,910,289
5. Step 5: Solve for x
   x = 7,016,910,289/38,789
6. Step 6: Final answer
   x = 180,899.49