Finding the Third Proportional to 1,567.69 and 2,428.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.69 : 2,428.73 = 2,428.73 : x
2. Step 2: Convert to fraction form
   1,567.69/2,428.73 = 2,428.73/x
3. Step 3: Cross multiply
   1,567.69x = 2,428.73 × 2,428.73
4. Step 4: Simplify right side
   1,567.69x = 5,898,750.66
5. Step 5: Solve for x
   x = 5,898,750.66/1,567.69
6. Step 6: Final answer
   x = 3,762.71