Finding the Third Proportional to 6,588.84 and 10,355.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,588.84 : 10,355.34 = 10,355.34 : x
2. Step 2: Convert to fraction form
   6,588.84/10,355.34 = 10,355.34/x
3. Step 3: Cross multiply
   6,588.84x = 10,355.34 × 10,355.34
4. Step 4: Simplify right side
   6,588.84x = 107,233,144.18
5. Step 5: Solve for x
   x = 107,233,144.18/6,588.84
6. Step 6: Final answer
   x = 16,274.96