Finding the Third Proportional to 2,936.25 and 7,097.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,936.25 : 7,097.63 = 7,097.63 : x
2. Step 2: Convert to fraction form
   2,936.25/7,097.63 = 7,097.63/x
3. Step 3: Cross multiply
   2,936.25x = 7,097.63 × 7,097.63
4. Step 4: Simplify right side
   2,936.25x = 50,376,280.64
5. Step 5: Solve for x
   x = 50,376,280.64/2,936.25
6. Step 6: Final answer
   x = 17,156.67