Finding the Third Proportional to 1,430.36 and 2,186.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.36 : 2,186.77 = 2,186.77 : x
2. Step 2: Convert to fraction form
   1,430.36/2,186.77 = 2,186.77/x
3. Step 3: Cross multiply
   1,430.36x = 2,186.77 × 2,186.77
4. Step 4: Simplify right side
   1,430.36x = 4,781,947.30
5. Step 5: Solve for x
   x = 4,781,947.30/1,430.36
6. Step 6: Final answer
   x = 3,343.17