Finding the Third Proportional to 1,537 and 2,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537 : 2,095.50 = 2,095.50 : x
2. Step 2: Convert to fraction form
   1,537/2,095.50 = 2,095.50/x
3. Step 3: Cross multiply
   1,537x = 2,095.50 × 2,095.50
4. Step 4: Simplify right side
   1,537x = 4,391,120.25
5. Step 5: Solve for x
   x = 4,391,120.25/1,537
6. Step 6: Final answer
   x = 2,856.94