Finding the Third Proportional to 9,892.25 and 15,296.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.25 : 15,296.69 = 15,296.69 : x
2. Step 2: Convert to fraction form
   9,892.25/15,296.69 = 15,296.69/x
3. Step 3: Cross multiply
   9,892.25x = 15,296.69 × 15,296.69
4. Step 4: Simplify right side
   9,892.25x = 233,988,648.47
5. Step 5: Solve for x
   x = 233,988,648.47/9,892.25
6. Step 6: Final answer
   x = 23,653.73