Finding the Third Proportional to 1,045.88 and 2,065.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,045.88 : 2,065.13 = 2,065.13 : x
2. Step 2: Convert to fraction form
   1,045.88/2,065.13 = 2,065.13/x
3. Step 3: Cross multiply
   1,045.88x = 2,065.13 × 2,065.13
4. Step 4: Simplify right side
   1,045.88x = 4,264,741.27
5. Step 5: Solve for x
   x = 4,264,741.27/1,045.88
6. Step 6: Final answer
   x = 4,077.68