Finding the Third Proportional to 1,309.69 and 1,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.69 : 1,748.50 = 1,748.50 : x
2. Step 2: Convert to fraction form
   1,309.69/1,748.50 = 1,748.50/x
3. Step 3: Cross multiply
   1,309.69x = 1,748.50 × 1,748.50
4. Step 4: Simplify right side
   1,309.69x = 3,057,252.25
5. Step 5: Solve for x
   x = 3,057,252.25/1,309.69
6. Step 6: Final answer
   x = 2,334.34