Finding the Third Proportional to 37,120 and 80,901

Step by Step Solution

1. Step 1: Write the proportion equation
   37,120 : 80,901 = 80,901 : x
2. Step 2: Convert to fraction form
   37,120/80,901 = 80,901/x
3. Step 3: Cross multiply
   37,120x = 80,901 × 80,901
4. Step 4: Simplify right side
   37,120x = 6,544,971,801
5. Step 5: Solve for x
   x = 6,544,971,801/37,120
6. Step 6: Final answer
   x = 176,319.28