Finding the Third Proportional to 37,257 and 80,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,257 : 80,863.50 = 80,863.50 : x
2. Step 2: Convert to fraction form
   37,257/80,863.50 = 80,863.50/x
3. Step 3: Cross multiply
   37,257x = 80,863.50 × 80,863.50
4. Step 4: Simplify right side
   37,257x = 6,538,905,632.25
5. Step 5: Solve for x
   x = 6,538,905,632.25/37,257
6. Step 6: Final answer
   x = 175,508.11