Finding the Third Proportional to 1,053.84 and 1,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.84 : 1,638.25 = 1,638.25 : x
2. Step 2: Convert to fraction form
   1,053.84/1,638.25 = 1,638.25/x
3. Step 3: Cross multiply
   1,053.84x = 1,638.25 × 1,638.25
4. Step 4: Simplify right side
   1,053.84x = 2,683,850.26
5. Step 5: Solve for x
   x = 2,683,850.26/1,053.84
6. Step 6: Final answer
   x = 2,546.73