Finding the Third Proportional to 4,213.69 and 8,861.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,213.69 : 8,861.06 = 8,861.06 : x
2. Step 2: Convert to fraction form
   4,213.69/8,861.06 = 8,861.06/x
3. Step 3: Cross multiply
   4,213.69x = 8,861.06 × 8,861.06
4. Step 4: Simplify right side
   4,213.69x = 78,518,428.63
5. Step 5: Solve for x
   x = 78,518,428.63/4,213.69
6. Step 6: Final answer
   x = 18,634.14