Finding the Third Proportional to 23,850 and 53,784

Step by Step Solution

1. Step 1: Write the proportion equation
   23,850 : 53,784 = 53,784 : x
2. Step 2: Convert to fraction form
   23,850/53,784 = 53,784/x
3. Step 3: Cross multiply
   23,850x = 53,784 × 53,784
4. Step 4: Simplify right side
   23,850x = 2,892,718,656
5. Step 5: Solve for x
   x = 2,892,718,656/23,850
6. Step 6: Final answer
   x = 121,287.99