Finding the Third Proportional to 1,666.88 and 1,822.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,666.88 : 1,822.13 = 1,822.13 : x
2. Step 2: Convert to fraction form
   1,666.88/1,822.13 = 1,822.13/x
3. Step 3: Cross multiply
   1,666.88x = 1,822.13 × 1,822.13
4. Step 4: Simplify right side
   1,666.88x = 3,320,139.52
5. Step 5: Solve for x
   x = 3,320,139.52/1,666.88
6. Step 6: Final answer
   x = 1,991.83