Finding the Third Proportional to 17,738 and 39,156

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738 : 39,156 = 39,156 : x
2. Step 2: Convert to fraction form
   17,738/39,156 = 39,156/x
3. Step 3: Cross multiply
   17,738x = 39,156 × 39,156
4. Step 4: Simplify right side
   17,738x = 1,533,192,336
5. Step 5: Solve for x
   x = 1,533,192,336/17,738
6. Step 6: Final answer
   x = 86,435.47