Finding the Third Proportional to 2,605.61 and 4,762.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.61 : 4,762.71 = 4,762.71 : x
2. Step 2: Convert to fraction form
   2,605.61/4,762.71 = 4,762.71/x
3. Step 3: Cross multiply
   2,605.61x = 4,762.71 × 4,762.71
4. Step 4: Simplify right side
   2,605.61x = 22,683,359.66
5. Step 5: Solve for x
   x = 22,683,359.66/2,605.61
6. Step 6: Final answer
   x = 8,705.60