Finding the Third Proportional to 10,740 and 23,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,740 : 23,784 = 23,784 : x
2. Step 2: Convert to fraction form
   10,740/23,784 = 23,784/x
3. Step 3: Cross multiply
   10,740x = 23,784 × 23,784
4. Step 4: Simplify right side
   10,740x = 565,678,656
5. Step 5: Solve for x
   x = 565,678,656/10,740
6. Step 6: Final answer
   x = 52,670.27