Finding the Third Proportional to 5,823 and 14,061

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823 : 14,061 = 14,061 : x
2. Step 2: Convert to fraction form
   5,823/14,061 = 14,061/x
3. Step 3: Cross multiply
   5,823x = 14,061 × 14,061
4. Step 4: Simplify right side
   5,823x = 197,711,721
5. Step 5: Solve for x
   x = 197,711,721/5,823
6. Step 6: Final answer
   x = 33,953.58