Finding the Third Proportional to 6,802.31 and 14,421.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,802.31 : 14,421.38 = 14,421.38 : x
2. Step 2: Convert to fraction form
   6,802.31/14,421.38 = 14,421.38/x
3. Step 3: Cross multiply
   6,802.31x = 14,421.38 × 14,421.38
4. Step 4: Simplify right side
   6,802.31x = 207,976,056.89
5. Step 5: Solve for x
   x = 207,976,056.89/6,802.31
6. Step 6: Final answer
   x = 30,574.32