Finding the Third Proportional to 37,348.50 and 80,639.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,348.50 : 80,639.25 = 80,639.25 : x
2. Step 2: Convert to fraction form
   37,348.50/80,639.25 = 80,639.25/x
3. Step 3: Cross multiply
   37,348.50x = 80,639.25 × 80,639.25
4. Step 4: Simplify right side
   37,348.50x = 6,502,688,640.56
5. Step 5: Solve for x
   x = 6,502,688,640.56/37,348.50
6. Step 6: Final answer
   x = 174,108.43