Finding the Third Proportional to 12,997.88 and 19,770.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,997.88 : 19,770.38 = 19,770.38 : x
2. Step 2: Convert to fraction form
   12,997.88/19,770.38 = 19,770.38/x
3. Step 3: Cross multiply
   12,997.88x = 19,770.38 × 19,770.38
4. Step 4: Simplify right side
   12,997.88x = 390,867,727.64
5. Step 5: Solve for x
   x = 390,867,727.64/12,997.88
6. Step 6: Final answer
   x = 30,071.66