Finding the Third Proportional to 37,089.50 and 76,771

Step by Step Solution

1. Step 1: Write the proportion equation
   37,089.50 : 76,771 = 76,771 : x
2. Step 2: Convert to fraction form
   37,089.50/76,771 = 76,771/x
3. Step 3: Cross multiply
   37,089.50x = 76,771 × 76,771
4. Step 4: Simplify right side
   37,089.50x = 5,893,786,441
5. Step 5: Solve for x
   x = 5,893,786,441/37,089.50
6. Step 6: Final answer
   x = 158,907.14