Finding the Third Proportional to 3,754.50 and 5,432

Step by Step Solution

1. Step 1: Write the proportion equation
   3,754.50 : 5,432 = 5,432 : x
2. Step 2: Convert to fraction form
   3,754.50/5,432 = 5,432/x
3. Step 3: Cross multiply
   3,754.50x = 5,432 × 5,432
4. Step 4: Simplify right side
   3,754.50x = 29,506,624
5. Step 5: Solve for x
   x = 29,506,624/3,754.50
6. Step 6: Final answer
   x = 7,859.00