Finding the Third Proportional to 1,013.77 and 2,118.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.77 : 2,118.66 = 2,118.66 : x
2. Step 2: Convert to fraction form
   1,013.77/2,118.66 = 2,118.66/x
3. Step 3: Cross multiply
   1,013.77x = 2,118.66 × 2,118.66
4. Step 4: Simplify right side
   1,013.77x = 4,488,704.31
5. Step 5: Solve for x
   x = 4,488,704.31/1,013.77
6. Step 6: Final answer
   x = 4,427.75