Finding the Third Proportional to 38,422 and 59,338

Step by Step Solution

1. Step 1: Write the proportion equation
   38,422 : 59,338 = 59,338 : x
2. Step 2: Convert to fraction form
   38,422/59,338 = 59,338/x
3. Step 3: Cross multiply
   38,422x = 59,338 × 59,338
4. Step 4: Simplify right side
   38,422x = 3,520,998,244
5. Step 5: Solve for x
   x = 3,520,998,244/38,422
6. Step 6: Final answer
   x = 91,640.16