Finding the Third Proportional to 10,568.60 and 16,457.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,568.60 : 16,457.55 = 16,457.55 : x
2. Step 2: Convert to fraction form
   10,568.60/16,457.55 = 16,457.55/x
3. Step 3: Cross multiply
   10,568.60x = 16,457.55 × 16,457.55
4. Step 4: Simplify right side
   10,568.60x = 270,851,106.29
5. Step 5: Solve for x
   x = 270,851,106.29/10,568.60
6. Step 6: Final answer
   x = 25,627.90