Finding the Third Proportional to 2,470.88 and 5,906.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.88 : 5,906.06 = 5,906.06 : x
2. Step 2: Convert to fraction form
   2,470.88/5,906.06 = 5,906.06/x
3. Step 3: Cross multiply
   2,470.88x = 5,906.06 × 5,906.06
4. Step 4: Simplify right side
   2,470.88x = 34,881,574.25
5. Step 5: Solve for x
   x = 34,881,574.25/2,470.88
6. Step 6: Final answer
   x = 14,117.09