Finding the Third Proportional to 6,820.49 and 14,842.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.49 : 14,842.34 = 14,842.34 : x
2. Step 2: Convert to fraction form
   6,820.49/14,842.34 = 14,842.34/x
3. Step 3: Cross multiply
   6,820.49x = 14,842.34 × 14,842.34
4. Step 4: Simplify right side
   6,820.49x = 220,295,066.53
5. Step 5: Solve for x
   x = 220,295,066.53/6,820.49
6. Step 6: Final answer
   x = 32,299.00