Finding the Third Proportional to 1,238.89 and 1,761.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.89 : 1,761.51 = 1,761.51 : x
2. Step 2: Convert to fraction form
   1,238.89/1,761.51 = 1,761.51/x
3. Step 3: Cross multiply
   1,238.89x = 1,761.51 × 1,761.51
4. Step 4: Simplify right side
   1,238.89x = 3,102,926.98
5. Step 5: Solve for x
   x = 3,102,926.98/1,238.89
6. Step 6: Final answer
   x = 2,504.61