Finding the Third Proportional to 37,142 and 81,089

Step by Step Solution

1. Step 1: Write the proportion equation
   37,142 : 81,089 = 81,089 : x
2. Step 2: Convert to fraction form
   37,142/81,089 = 81,089/x
3. Step 3: Cross multiply
   37,142x = 81,089 × 81,089
4. Step 4: Simplify right side
   37,142x = 6,575,425,921
5. Step 5: Solve for x
   x = 6,575,425,921/37,142
6. Step 6: Final answer
   x = 177,034.78