Finding the Third Proportional to 6,419.25 and 13,856.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,419.25 : 13,856.06 = 13,856.06 : x
2. Step 2: Convert to fraction form
   6,419.25/13,856.06 = 13,856.06/x
3. Step 3: Cross multiply
   6,419.25x = 13,856.06 × 13,856.06
4. Step 4: Simplify right side
   6,419.25x = 191,990,468.00
5. Step 5: Solve for x
   x = 191,990,468.00/6,419.25
6. Step 6: Final answer
   x = 29,908.55