Finding the Third Proportional to 36,925 and 80,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,925 : 80,533.50 = 80,533.50 : x
2. Step 2: Convert to fraction form
   36,925/80,533.50 = 80,533.50/x
3. Step 3: Cross multiply
   36,925x = 80,533.50 × 80,533.50
4. Step 4: Simplify right side
   36,925x = 6,485,644,622.25
5. Step 5: Solve for x
   x = 6,485,644,622.25/36,925
6. Step 6: Final answer
   x = 175,643.73