Finding the Third Proportional to 37,181 and 76,863

Step by Step Solution

1. Step 1: Write the proportion equation
   37,181 : 76,863 = 76,863 : x
2. Step 2: Convert to fraction form
   37,181/76,863 = 76,863/x
3. Step 3: Cross multiply
   37,181x = 76,863 × 76,863
4. Step 4: Simplify right side
   37,181x = 5,907,920,769
5. Step 5: Solve for x
   x = 5,907,920,769/37,181
6. Step 6: Final answer
   x = 158,896.23