Finding the Third Proportional to 38,800 and 83,788

Step by Step Solution

1. Step 1: Write the proportion equation
   38,800 : 83,788 = 83,788 : x
2. Step 2: Convert to fraction form
   38,800/83,788 = 83,788/x
3. Step 3: Cross multiply
   38,800x = 83,788 × 83,788
4. Step 4: Simplify right side
   38,800x = 7,020,428,944
5. Step 5: Solve for x
   x = 7,020,428,944/38,800
6. Step 6: Final answer
   x = 180,938.89