Finding the Third Proportional to 10,785 and 23,574

Step by Step Solution

1. Step 1: Write the proportion equation
   10,785 : 23,574 = 23,574 : x
2. Step 2: Convert to fraction form
   10,785/23,574 = 23,574/x
3. Step 3: Cross multiply
   10,785x = 23,574 × 23,574
4. Step 4: Simplify right side
   10,785x = 555,733,476
5. Step 5: Solve for x
   x = 555,733,476/10,785
6. Step 6: Final answer
   x = 51,528.37