Finding the Third Proportional to 37,636 and 81,608

Step by Step Solution

1. Step 1: Write the proportion equation
   37,636 : 81,608 = 81,608 : x
2. Step 2: Convert to fraction form
   37,636/81,608 = 81,608/x
3. Step 3: Cross multiply
   37,636x = 81,608 × 81,608
4. Step 4: Simplify right side
   37,636x = 6,659,865,664
5. Step 5: Solve for x
   x = 6,659,865,664/37,636
6. Step 6: Final answer
   x = 176,954.66