Finding the Third Proportional to 1,237.69 and 1,649.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,237.69 : 1,649.81 = 1,649.81 : x
2. Step 2: Convert to fraction form
   1,237.69/1,649.81 = 1,649.81/x
3. Step 3: Cross multiply
   1,237.69x = 1,649.81 × 1,649.81
4. Step 4: Simplify right side
   1,237.69x = 2,721,881.29
5. Step 5: Solve for x
   x = 2,721,881.29/1,237.69
6. Step 6: Final answer
   x = 2,199.17