Finding the Third Proportional to 13,002.75 and 30,684.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.75 : 30,684.38 = 30,684.38 : x
2. Step 2: Convert to fraction form
   13,002.75/30,684.38 = 30,684.38/x
3. Step 3: Cross multiply
   13,002.75x = 30,684.38 × 30,684.38
4. Step 4: Simplify right side
   13,002.75x = 941,530,869.14
5. Step 5: Solve for x
   x = 941,530,869.14/13,002.75
6. Step 6: Final answer
   x = 72,410.13