Finding the Third Proportional to 37,215 and 80,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,215 : 80,986.50 = 80,986.50 : x
2. Step 2: Convert to fraction form
   37,215/80,986.50 = 80,986.50/x
3. Step 3: Cross multiply
   37,215x = 80,986.50 × 80,986.50
4. Step 4: Simplify right side
   37,215x = 6,558,813,182.25
5. Step 5: Solve for x
   x = 6,558,813,182.25/37,215
6. Step 6: Final answer
   x = 176,241.12