Finding the Third Proportional to 37,151 and 80,863

Step by Step Solution

1. Step 1: Write the proportion equation
   37,151 : 80,863 = 80,863 : x
2. Step 2: Convert to fraction form
   37,151/80,863 = 80,863/x
3. Step 3: Cross multiply
   37,151x = 80,863 × 80,863
4. Step 4: Simplify right side
   37,151x = 6,538,824,769
5. Step 5: Solve for x
   x = 6,538,824,769/37,151
6. Step 6: Final answer
   x = 176,006.70