Finding the Third Proportional to 1,488.38 and 1,985.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.38 : 1,985.77 = 1,985.77 : x
2. Step 2: Convert to fraction form
   1,488.38/1,985.77 = 1,985.77/x
3. Step 3: Cross multiply
   1,488.38x = 1,985.77 × 1,985.77
4. Step 4: Simplify right side
   1,488.38x = 3,943,265.12
5. Step 5: Solve for x
   x = 3,943,265.12/1,488.38
6. Step 6: Final answer
   x = 2,649.38