Finding the Third Proportional to 37,848 and 56,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,848 : 56,616 = 56,616 : x
2. Step 2: Convert to fraction form
   37,848/56,616 = 56,616/x
3. Step 3: Cross multiply
   37,848x = 56,616 × 56,616
4. Step 4: Simplify right side
   37,848x = 3,205,371,456
5. Step 5: Solve for x
   x = 3,205,371,456/37,848
6. Step 6: Final answer
   x = 84,690.64