Finding the Third Proportional to 10,905.38 and 16,784.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,905.38 : 16,784.63 = 16,784.63 : x
2. Step 2: Convert to fraction form
   10,905.38/16,784.63 = 16,784.63/x
3. Step 3: Cross multiply
   10,905.38x = 16,784.63 × 16,784.63
4. Step 4: Simplify right side
   10,905.38x = 281,723,636.39
5. Step 5: Solve for x
   x = 281,723,636.39/10,905.38
6. Step 6: Final answer
   x = 25,833.47