Finding the Third Proportional to 37,005.75 and 80,248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,005.75 : 80,248.50 = 80,248.50 : x
2. Step 2: Convert to fraction form
   37,005.75/80,248.50 = 80,248.50/x
3. Step 3: Cross multiply
   37,005.75x = 80,248.50 × 80,248.50
4. Step 4: Simplify right side
   37,005.75x = 6,439,821,752.25
5. Step 5: Solve for x
   x = 6,439,821,752.25/37,005.75
6. Step 6: Final answer
   x = 174,022.19