Finding the Third Proportional to 37,854 and 80,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,854 : 80,563.50 = 80,563.50 : x
2. Step 2: Convert to fraction form
   37,854/80,563.50 = 80,563.50/x
3. Step 3: Cross multiply
   37,854x = 80,563.50 × 80,563.50
4. Step 4: Simplify right side
   37,854x = 6,490,477,532.25
5. Step 5: Solve for x
   x = 6,490,477,532.25/37,854
6. Step 6: Final answer
   x = 171,460.81