Finding the Third Proportional to 37,092 and 80,339.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,092 : 80,339.25 = 80,339.25 : x
2. Step 2: Convert to fraction form
   37,092/80,339.25 = 80,339.25/x
3. Step 3: Cross multiply
   37,092x = 80,339.25 × 80,339.25
4. Step 4: Simplify right side
   37,092x = 6,454,395,090.56
5. Step 5: Solve for x
   x = 6,454,395,090.56/37,092
6. Step 6: Final answer
   x = 174,010.44