Finding the Third Proportional to 37,476.75 and 80,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,476.75 : 80,512.50 = 80,512.50 : x
2. Step 2: Convert to fraction form
   37,476.75/80,512.50 = 80,512.50/x
3. Step 3: Cross multiply
   37,476.75x = 80,512.50 × 80,512.50
4. Step 4: Simplify right side
   37,476.75x = 6,482,262,656.25
5. Step 5: Solve for x
   x = 6,482,262,656.25/37,476.75
6. Step 6: Final answer
   x = 172,967.58