Finding the Third Proportional to 1,572 and 2,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,572 : 2,103.50 = 2,103.50 : x
2. Step 2: Convert to fraction form
   1,572/2,103.50 = 2,103.50/x
3. Step 3: Cross multiply
   1,572x = 2,103.50 × 2,103.50
4. Step 4: Simplify right side
   1,572x = 4,424,712.25
5. Step 5: Solve for x
   x = 4,424,712.25/1,572
6. Step 6: Final answer
   x = 2,814.70