Finding the Third Proportional to 1,871 and 2,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,871 : 2,073.50 = 2,073.50 : x
2. Step 2: Convert to fraction form
   1,871/2,073.50 = 2,073.50/x
3. Step 3: Cross multiply
   1,871x = 2,073.50 × 2,073.50
4. Step 4: Simplify right side
   1,871x = 4,299,402.25
5. Step 5: Solve for x
   x = 4,299,402.25/1,871
6. Step 6: Final answer
   x = 2,297.92