Finding the Third Proportional to 1,001.53 and 2,185.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.53 : 2,185.03 = 2,185.03 : x
2. Step 2: Convert to fraction form
   1,001.53/2,185.03 = 2,185.03/x
3. Step 3: Cross multiply
   1,001.53x = 2,185.03 × 2,185.03
4. Step 4: Simplify right side
   1,001.53x = 4,774,361.56
5. Step 5: Solve for x
   x = 4,774,361.56/1,001.53
6. Step 6: Final answer
   x = 4,767.06