Finding the Third Proportional to 38,794 and 59,321

Step by Step Solution

1. Step 1: Write the proportion equation
   38,794 : 59,321 = 59,321 : x
2. Step 2: Convert to fraction form
   38,794/59,321 = 59,321/x
3. Step 3: Cross multiply
   38,794x = 59,321 × 59,321
4. Step 4: Simplify right side
   38,794x = 3,518,981,041
5. Step 5: Solve for x
   x = 3,518,981,041/38,794
6. Step 6: Final answer
   x = 90,709.41