Finding the Third Proportional to 4,781.75 and 10,410.32

Step by Step Solution

1. Step 1: Write the proportion equation
   4,781.75 : 10,410.32 = 10,410.32 : x
2. Step 2: Convert to fraction form
   4,781.75/10,410.32 = 10,410.32/x
3. Step 3: Cross multiply
   4,781.75x = 10,410.32 × 10,410.32
4. Step 4: Simplify right side
   4,781.75x = 108,374,748.68
5. Step 5: Solve for x
   x = 108,374,748.68/4,781.75
6. Step 6: Final answer
   x = 22,664.25