Finding the Third Proportional to 38,802 and 83,799

Step by Step Solution

1. Step 1: Write the proportion equation
   38,802 : 83,799 = 83,799 : x
2. Step 2: Convert to fraction form
   38,802/83,799 = 83,799/x
3. Step 3: Cross multiply
   38,802x = 83,799 × 83,799
4. Step 4: Simplify right side
   38,802x = 7,022,272,401
5. Step 5: Solve for x
   x = 7,022,272,401/38,802
6. Step 6: Final answer
   x = 180,977.07