Finding the Third Proportional to 24,801 and 37,784

Step by Step Solution

1. Step 1: Write the proportion equation
   24,801 : 37,784 = 37,784 : x
2. Step 2: Convert to fraction form
   24,801/37,784 = 37,784/x
3. Step 3: Cross multiply
   24,801x = 37,784 × 37,784
4. Step 4: Simplify right side
   24,801x = 1,427,630,656
5. Step 5: Solve for x
   x = 1,427,630,656/24,801
6. Step 6: Final answer
   x = 57,563.43