Finding the Third Proportional to 4,655.81 and 10,906.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,655.81 : 10,906.31 = 10,906.31 : x
2. Step 2: Convert to fraction form
   4,655.81/10,906.31 = 10,906.31/x
3. Step 3: Cross multiply
   4,655.81x = 10,906.31 × 10,906.31
4. Step 4: Simplify right side
   4,655.81x = 118,947,652.35
5. Step 5: Solve for x
   x = 118,947,652.35/4,655.81
6. Step 6: Final answer
   x = 25,548.21