Finding the Third Proportional to 37,092 and 76,775

Step by Step Solution

1. Step 1: Write the proportion equation
   37,092 : 76,775 = 76,775 : x
2. Step 2: Convert to fraction form
   37,092/76,775 = 76,775/x
3. Step 3: Cross multiply
   37,092x = 76,775 × 76,775
4. Step 4: Simplify right side
   37,092x = 5,894,400,625
5. Step 5: Solve for x
   x = 5,894,400,625/37,092
6. Step 6: Final answer
   x = 158,912.99