Finding the Third Proportional to 1,600.50 and 2,157.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,600.50 : 2,157.56 = 2,157.56 : x
2. Step 2: Convert to fraction form
   1,600.50/2,157.56 = 2,157.56/x
3. Step 3: Cross multiply
   1,600.50x = 2,157.56 × 2,157.56
4. Step 4: Simplify right side
   1,600.50x = 4,655,075.94
5. Step 5: Solve for x
   x = 4,655,075.94/1,600.50
6. Step 6: Final answer
   x = 2,908.51