Finding the Third Proportional to 37,048 and 80,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,048 : 80,018.50 = 80,018.50 : x
2. Step 2: Convert to fraction form
   37,048/80,018.50 = 80,018.50/x
3. Step 3: Cross multiply
   37,048x = 80,018.50 × 80,018.50
4. Step 4: Simplify right side
   37,048x = 6,402,960,342.25
5. Step 5: Solve for x
   x = 6,402,960,342.25/37,048
6. Step 6: Final answer
   x = 172,828.77