Finding the Third Proportional to 1,570.50 and 3,454.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,570.50 : 3,454.88 = 3,454.88 : x
2. Step 2: Convert to fraction form
   1,570.50/3,454.88 = 3,454.88/x
3. Step 3: Cross multiply
   1,570.50x = 3,454.88 × 3,454.88
4. Step 4: Simplify right side
   1,570.50x = 11,936,161.27
5. Step 5: Solve for x
   x = 11,936,161.27/1,570.50
6. Step 6: Final answer
   x = 7,600.23