Finding the Third Proportional to 23,648 and 48,784

Step by Step Solution

1. Step 1: Write the proportion equation
   23,648 : 48,784 = 48,784 : x
2. Step 2: Convert to fraction form
   23,648/48,784 = 48,784/x
3. Step 3: Cross multiply
   23,648x = 48,784 × 48,784
4. Step 4: Simplify right side
   23,648x = 2,379,878,656
5. Step 5: Solve for x
   x = 2,379,878,656/23,648
6. Step 6: Final answer
   x = 100,637.63