Finding the Third Proportional to 38,376 and 59,204

Step by Step Solution

1. Step 1: Write the proportion equation
   38,376 : 59,204 = 59,204 : x
2. Step 2: Convert to fraction form
   38,376/59,204 = 59,204/x
3. Step 3: Cross multiply
   38,376x = 59,204 × 59,204
4. Step 4: Simplify right side
   38,376x = 3,505,113,616
5. Step 5: Solve for x
   x = 3,505,113,616/38,376
6. Step 6: Final answer
   x = 91,336.09