Finding the Third Proportional to 38,422 and 83,404

Step by Step Solution

1. Step 1: Write the proportion equation
   38,422 : 83,404 = 83,404 : x
2. Step 2: Convert to fraction form
   38,422/83,404 = 83,404/x
3. Step 3: Cross multiply
   38,422x = 83,404 × 83,404
4. Step 4: Simplify right side
   38,422x = 6,956,227,216
5. Step 5: Solve for x
   x = 6,956,227,216/38,422
6. Step 6: Final answer
   x = 181,048.02