Finding the Third Proportional to 13,007.25 and 19,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,007.25 : 19,784.25 = 19,784.25 : x
2. Step 2: Convert to fraction form
   13,007.25/19,784.25 = 19,784.25/x
3. Step 3: Cross multiply
   13,007.25x = 19,784.25 × 19,784.25
4. Step 4: Simplify right side
   13,007.25x = 391,416,548.06
5. Step 5: Solve for x
   x = 391,416,548.06/13,007.25
6. Step 6: Final answer
   x = 30,092.18