Finding the Third Proportional to 13,140 and 19,983.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,140 : 19,983.38 = 19,983.38 : x
2. Step 2: Convert to fraction form
   13,140/19,983.38 = 19,983.38/x
3. Step 3: Cross multiply
   13,140x = 19,983.38 × 19,983.38
4. Step 4: Simplify right side
   13,140x = 399,335,276.39
5. Step 5: Solve for x
   x = 399,335,276.39/13,140
6. Step 6: Final answer
   x = 30,390.81