Finding the Third Proportional to 5,671.31 and 8,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,671.31 : 8,512.50 = 8,512.50 : x
2. Step 2: Convert to fraction form
   5,671.31/8,512.50 = 8,512.50/x
3. Step 3: Cross multiply
   5,671.31x = 8,512.50 × 8,512.50
4. Step 4: Simplify right side
   5,671.31x = 72,462,656.25
5. Step 5: Solve for x
   x = 72,462,656.25/5,671.31
6. Step 6: Final answer
   x = 12,777.05