Finding the Third Proportional to 37,256 and 80,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,256 : 80,861.50 = 80,861.50 : x
2. Step 2: Convert to fraction form
   37,256/80,861.50 = 80,861.50/x
3. Step 3: Cross multiply
   37,256x = 80,861.50 × 80,861.50
4. Step 4: Simplify right side
   37,256x = 6,538,582,182.25
5. Step 5: Solve for x
   x = 6,538,582,182.25/37,256
6. Step 6: Final answer
   x = 175,504.14