Finding the Third Proportional to 1,442.63 and 1,645.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.63 : 1,645.13 = 1,645.13 : x
2. Step 2: Convert to fraction form
   1,442.63/1,645.13 = 1,645.13/x
3. Step 3: Cross multiply
   1,442.63x = 1,645.13 × 1,645.13
4. Step 4: Simplify right side
   1,442.63x = 2,706,436.27
5. Step 5: Solve for x
   x = 2,706,436.27/1,442.63
6. Step 6: Final answer
   x = 1,876.05