Finding the Third Proportional to 10,142 and 14,832

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142 : 14,832 = 14,832 : x
2. Step 2: Convert to fraction form
   10,142/14,832 = 14,832/x
3. Step 3: Cross multiply
   10,142x = 14,832 × 14,832
4. Step 4: Simplify right side
   10,142x = 219,988,224
5. Step 5: Solve for x
   x = 219,988,224/10,142
6. Step 6: Final answer
   x = 21,690.81