Finding the Third Proportional to 37,144 and 81,088

Step by Step Solution

1. Step 1: Write the proportion equation
   37,144 : 81,088 = 81,088 : x
2. Step 2: Convert to fraction form
   37,144/81,088 = 81,088/x
3. Step 3: Cross multiply
   37,144x = 81,088 × 81,088
4. Step 4: Simplify right side
   37,144x = 6,575,263,744
5. Step 5: Solve for x
   x = 6,575,263,744/37,144
6. Step 6: Final answer
   x = 177,020.88