Finding the Third Proportional to 38,204 and 58,404

Step by Step Solution

1. Step 1: Write the proportion equation
   38,204 : 58,404 = 58,404 : x
2. Step 2: Convert to fraction form
   38,204/58,404 = 58,404/x
3. Step 3: Cross multiply
   38,204x = 58,404 × 58,404
4. Step 4: Simplify right side
   38,204x = 3,411,027,216
5. Step 5: Solve for x
   x = 3,411,027,216/38,204
6. Step 6: Final answer
   x = 89,284.56