Finding the Third Proportional to 14,140 and 30,832

Step by Step Solution

1. Step 1: Write the proportion equation
   14,140 : 30,832 = 30,832 : x
2. Step 2: Convert to fraction form
   14,140/30,832 = 30,832/x
3. Step 3: Cross multiply
   14,140x = 30,832 × 30,832
4. Step 4: Simplify right side
   14,140x = 950,612,224
5. Step 5: Solve for x
   x = 950,612,224/14,140
6. Step 6: Final answer
   x = 67,228.59