Finding the Third Proportional to 10,071.75 and 14,158.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.75 : 14,158.13 = 14,158.13 : x
2. Step 2: Convert to fraction form
   10,071.75/14,158.13 = 14,158.13/x
3. Step 3: Cross multiply
   10,071.75x = 14,158.13 × 14,158.13
4. Step 4: Simplify right side
   10,071.75x = 200,452,503.52
5. Step 5: Solve for x
   x = 200,452,503.52/10,071.75
6. Step 6: Final answer
   x = 19,902.45