Finding the Third Proportional to 1,701.47 and 3,747.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,701.47 : 3,747.52 = 3,747.52 : x
2. Step 2: Convert to fraction form
   1,701.47/3,747.52 = 3,747.52/x
3. Step 3: Cross multiply
   1,701.47x = 3,747.52 × 3,747.52
4. Step 4: Simplify right side
   1,701.47x = 14,043,873.36
5. Step 5: Solve for x
   x = 14,043,873.36/1,701.47
6. Step 6: Final answer
   x = 8,253.94