Finding the Third Proportional to 1,575.70 and 3,468.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,575.70 : 3,468.45 = 3,468.45 : x
2. Step 2: Convert to fraction form
   1,575.70/3,468.45 = 3,468.45/x
3. Step 3: Cross multiply
   1,575.70x = 3,468.45 × 3,468.45
4. Step 4: Simplify right side
   1,575.70x = 12,030,112.89
5. Step 5: Solve for x
   x = 12,030,112.89/1,575.70
6. Step 6: Final answer
   x = 7,634.76