Finding the Third Proportional to 37,129 and 80,003

Step by Step Solution

1. Step 1: Write the proportion equation
   37,129 : 80,003 = 80,003 : x
2. Step 2: Convert to fraction form
   37,129/80,003 = 80,003/x
3. Step 3: Cross multiply
   37,129x = 80,003 × 80,003
4. Step 4: Simplify right side
   37,129x = 6,400,480,009
5. Step 5: Solve for x
   x = 6,400,480,009/37,129
6. Step 6: Final answer
   x = 172,384.93