Finding the Third Proportional to 10,946.63 and 16,984.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.63 : 16,984.69 = 16,984.69 : x
2. Step 2: Convert to fraction form
   10,946.63/16,984.69 = 16,984.69/x
3. Step 3: Cross multiply
   10,946.63x = 16,984.69 × 16,984.69
4. Step 4: Simplify right side
   10,946.63x = 288,479,609.47
5. Step 5: Solve for x
   x = 288,479,609.47/10,946.63
6. Step 6: Final answer
   x = 26,353.29