Finding the Third Proportional to 10,681.63 and 16,582.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,681.63 : 16,582.13 = 16,582.13 : x
2. Step 2: Convert to fraction form
   10,681.63/16,582.13 = 16,582.13/x
3. Step 3: Cross multiply
   10,681.63x = 16,582.13 × 16,582.13
4. Step 4: Simplify right side
   10,681.63x = 274,966,869.52
5. Step 5: Solve for x
   x = 274,966,869.52/10,681.63
6. Step 6: Final answer
   x = 25,742.04