Finding the Third Proportional to 37,997 and 56,784

Step by Step Solution

1. Step 1: Write the proportion equation
   37,997 : 56,784 = 56,784 : x
2. Step 2: Convert to fraction form
   37,997/56,784 = 56,784/x
3. Step 3: Cross multiply
   37,997x = 56,784 × 56,784
4. Step 4: Simplify right side
   37,997x = 3,224,422,656
5. Step 5: Solve for x
   x = 3,224,422,656/37,997
6. Step 6: Final answer
   x = 84,859.93