Finding the Third Proportional to 6,946.17 and 15,209.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,946.17 : 15,209.86 = 15,209.86 : x
2. Step 2: Convert to fraction form
   6,946.17/15,209.86 = 15,209.86/x
3. Step 3: Cross multiply
   6,946.17x = 15,209.86 × 15,209.86
4. Step 4: Simplify right side
   6,946.17x = 231,339,822.21
5. Step 5: Solve for x
   x = 231,339,822.21/6,946.17
6. Step 6: Final answer
   x = 33,304.65