Finding the Third Proportional to 37,014 and 80,345

Step by Step Solution

1. Step 1: Write the proportion equation
   37,014 : 80,345 = 80,345 : x
2. Step 2: Convert to fraction form
   37,014/80,345 = 80,345/x
3. Step 3: Cross multiply
   37,014x = 80,345 × 80,345
4. Step 4: Simplify right side
   37,014x = 6,455,319,025
5. Step 5: Solve for x
   x = 6,455,319,025/37,014
6. Step 6: Final answer
   x = 174,402.09