Finding the Third Proportional to 10,320.75 and 15,678.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320.75 : 15,678.56 = 15,678.56 : x
2. Step 2: Convert to fraction form
   10,320.75/15,678.56 = 15,678.56/x
3. Step 3: Cross multiply
   10,320.75x = 15,678.56 × 15,678.56
4. Step 4: Simplify right side
   10,320.75x = 245,817,322.07
5. Step 5: Solve for x
   x = 245,817,322.07/10,320.75
6. Step 6: Final answer
   x = 23,817.78