Finding the Third Proportional to 6,561 and 10,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,561 : 10,354.50 = 10,354.50 : x
2. Step 2: Convert to fraction form
   6,561/10,354.50 = 10,354.50/x
3. Step 3: Cross multiply
   6,561x = 10,354.50 × 10,354.50
4. Step 4: Simplify right side
   6,561x = 107,215,670.25
5. Step 5: Solve for x
   x = 107,215,670.25/6,561
6. Step 6: Final answer
   x = 16,341.36