Finding the Third Proportional to 10,638.84 and 16,880.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.84 : 16,880.91 = 16,880.91 : x
2. Step 2: Convert to fraction form
   10,638.84/16,880.91 = 16,880.91/x
3. Step 3: Cross multiply
   10,638.84x = 16,880.91 × 16,880.91
4. Step 4: Simplify right side
   10,638.84x = 284,964,995.82
5. Step 5: Solve for x
   x = 284,964,995.82/10,638.84
6. Step 6: Final answer
   x = 26,785.34