Finding the Third Proportional to 4,641.56 and 9,665.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,641.56 : 9,665.63 = 9,665.63 : x
2. Step 2: Convert to fraction form
   4,641.56/9,665.63 = 9,665.63/x
3. Step 3: Cross multiply
   4,641.56x = 9,665.63 × 9,665.63
4. Step 4: Simplify right side
   4,641.56x = 93,424,306.64
5. Step 5: Solve for x
   x = 93,424,306.64/4,641.56
6. Step 6: Final answer
   x = 20,127.77