Finding the Third Proportional to 1,259 and 2,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259 : 2,670.50 = 2,670.50 : x
2. Step 2: Convert to fraction form
   1,259/2,670.50 = 2,670.50/x
3. Step 3: Cross multiply
   1,259x = 2,670.50 × 2,670.50
4. Step 4: Simplify right side
   1,259x = 7,131,570.25
5. Step 5: Solve for x
   x = 7,131,570.25/1,259
6. Step 6: Final answer
   x = 5,664.47