Finding the Third Proportional to 10,213.88 and 13,861.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213.88 : 13,861.69 = 13,861.69 : x
2. Step 2: Convert to fraction form
   10,213.88/13,861.69 = 13,861.69/x
3. Step 3: Cross multiply
   10,213.88x = 13,861.69 × 13,861.69
4. Step 4: Simplify right side
   10,213.88x = 192,146,380.35
5. Step 5: Solve for x
   x = 192,146,380.35/10,213.88
6. Step 6: Final answer
   x = 18,812.29