Finding the Third Proportional to 17,834 and 38,962

Step by Step Solution

1. Step 1: Write the proportion equation
   17,834 : 38,962 = 38,962 : x
2. Step 2: Convert to fraction form
   17,834/38,962 = 38,962/x
3. Step 3: Cross multiply
   17,834x = 38,962 × 38,962
4. Step 4: Simplify right side
   17,834x = 1,518,037,444
5. Step 5: Solve for x
   x = 1,518,037,444/17,834
6. Step 6: Final answer
   x = 85,120.41