Finding the Third Proportional to 2,372.06 and 3,416.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,372.06 : 3,416.48 = 3,416.48 : x
2. Step 2: Convert to fraction form
   2,372.06/3,416.48 = 3,416.48/x
3. Step 3: Cross multiply
   2,372.06x = 3,416.48 × 3,416.48
4. Step 4: Simplify right side
   2,372.06x = 11,672,365.48
5. Step 5: Solve for x
   x = 11,672,365.48/2,372.06
6. Step 6: Final answer
   x = 4,920.77