Finding the Third Proportional to 3,641.81 and 7,814.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641.81 : 7,814.63 = 7,814.63 : x
2. Step 2: Convert to fraction form
   3,641.81/7,814.63 = 7,814.63/x
3. Step 3: Cross multiply
   3,641.81x = 7,814.63 × 7,814.63
4. Step 4: Simplify right side
   3,641.81x = 61,068,363.89
5. Step 5: Solve for x
   x = 61,068,363.89/3,641.81
6. Step 6: Final answer
   x = 16,768.67