Finding the Third Proportional to 38,461 and 58,204

Step by Step Solution

1. Step 1: Write the proportion equation
   38,461 : 58,204 = 58,204 : x
2. Step 2: Convert to fraction form
   38,461/58,204 = 58,204/x
3. Step 3: Cross multiply
   38,461x = 58,204 × 58,204
4. Step 4: Simplify right side
   38,461x = 3,387,705,616
5. Step 5: Solve for x
   x = 3,387,705,616/38,461
6. Step 6: Final answer
   x = 88,081.58