Finding the Third Proportional to 38,530 and 84,404

Step by Step Solution

1. Step 1: Write the proportion equation
   38,530 : 84,404 = 84,404 : x
2. Step 2: Convert to fraction form
   38,530/84,404 = 84,404/x
3. Step 3: Cross multiply
   38,530x = 84,404 × 84,404
4. Step 4: Simplify right side
   38,530x = 7,124,035,216
5. Step 5: Solve for x
   x = 7,124,035,216/38,530
6. Step 6: Final answer
   x = 184,895.80