Finding the Third Proportional to 37,635 and 81,144

Step by Step Solution

1. Step 1: Write the proportion equation
   37,635 : 81,144 = 81,144 : x
2. Step 2: Convert to fraction form
   37,635/81,144 = 81,144/x
3. Step 3: Cross multiply
   37,635x = 81,144 × 81,144
4. Step 4: Simplify right side
   37,635x = 6,584,348,736
5. Step 5: Solve for x
   x = 6,584,348,736/37,635
6. Step 6: Final answer
   x = 174,952.80