Finding the Third Proportional to 37,784 and 59,997

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784 : 59,997 = 59,997 : x
2. Step 2: Convert to fraction form
   37,784/59,997 = 59,997/x
3. Step 3: Cross multiply
   37,784x = 59,997 × 59,997
4. Step 4: Simplify right side
   37,784x = 3,599,640,009
5. Step 5: Solve for x
   x = 3,599,640,009/37,784
6. Step 6: Final answer
   x = 95,268.90