Finding the Third Proportional to 1,638.50 and 2,386.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.50 : 2,386.75 = 2,386.75 : x
2. Step 2: Convert to fraction form
   1,638.50/2,386.75 = 2,386.75/x
3. Step 3: Cross multiply
   1,638.50x = 2,386.75 × 2,386.75
4. Step 4: Simplify right side
   1,638.50x = 5,696,575.56
5. Step 5: Solve for x
   x = 5,696,575.56/1,638.50
6. Step 6: Final answer
   x = 3,476.70