Finding the Third Proportional to 1,537.25 and 2,386.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.25 : 2,386.88 = 2,386.88 : x
2. Step 2: Convert to fraction form
   1,537.25/2,386.88 = 2,386.88/x
3. Step 3: Cross multiply
   1,537.25x = 2,386.88 × 2,386.88
4. Step 4: Simplify right side
   1,537.25x = 5,697,172.27
5. Step 5: Solve for x
   x = 5,697,172.27/1,537.25
6. Step 6: Final answer
   x = 3,706.08