Finding the Third Proportional to 37,606 and 83,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,606 : 83,616 = 83,616 : x
2. Step 2: Convert to fraction form
   37,606/83,616 = 83,616/x
3. Step 3: Cross multiply
   37,606x = 83,616 × 83,616
4. Step 4: Simplify right side
   37,606x = 6,991,635,456
5. Step 5: Solve for x
   x = 6,991,635,456/37,606
6. Step 6: Final answer
   x = 185,918.08