Finding the Third Proportional to 37,616 and 81,706

Step by Step Solution

1. Step 1: Write the proportion equation
   37,616 : 81,706 = 81,706 : x
2. Step 2: Convert to fraction form
   37,616/81,706 = 81,706/x
3. Step 3: Cross multiply
   37,616x = 81,706 × 81,706
4. Step 4: Simplify right side
   37,616x = 6,675,870,436
5. Step 5: Solve for x
   x = 6,675,870,436/37,616
6. Step 6: Final answer
   x = 177,474.22