Finding the Third Proportional to 2,553.47 and 3,465.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.47 : 3,465.42 = 3,465.42 : x
2. Step 2: Convert to fraction form
   2,553.47/3,465.42 = 3,465.42/x
3. Step 3: Cross multiply
   2,553.47x = 3,465.42 × 3,465.42
4. Step 4: Simplify right side
   2,553.47x = 12,009,148.77
5. Step 5: Solve for x
   x = 12,009,148.77/2,553.47
6. Step 6: Final answer
   x = 4,703.07