Finding the Third Proportional to 1,663.88 and 3,974.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,663.88 : 3,974.06 = 3,974.06 : x
2. Step 2: Convert to fraction form
   1,663.88/3,974.06 = 3,974.06/x
3. Step 3: Cross multiply
   1,663.88x = 3,974.06 × 3,974.06
4. Step 4: Simplify right side
   1,663.88x = 15,793,172.75
5. Step 5: Solve for x
   x = 15,793,172.75/1,663.88
6. Step 6: Final answer
   x = 9,491.80