Finding the Third Proportional to 1,587 and 1,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587 : 1,753.50 = 1,753.50 : x
2. Step 2: Convert to fraction form
   1,587/1,753.50 = 1,753.50/x
3. Step 3: Cross multiply
   1,587x = 1,753.50 × 1,753.50
4. Step 4: Simplify right side
   1,587x = 3,074,762.25
5. Step 5: Solve for x
   x = 3,074,762.25/1,587
6. Step 6: Final answer
   x = 1,937.47