Finding the Third Proportional to 37,533.38 and 80,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,533.38 : 80,392.50 = 80,392.50 : x
2. Step 2: Convert to fraction form
   37,533.38/80,392.50 = 80,392.50/x
3. Step 3: Cross multiply
   37,533.38x = 80,392.50 × 80,392.50
4. Step 4: Simplify right side
   37,533.38x = 6,462,954,056.25
5. Step 5: Solve for x
   x = 6,462,954,056.25/37,533.38
6. Step 6: Final answer
   x = 172,192.19