Finding the Third Proportional to 8,077.50 and 12,594

Step by Step Solution

1. Step 1: Write the proportion equation
   8,077.50 : 12,594 = 12,594 : x
2. Step 2: Convert to fraction form
   8,077.50/12,594 = 12,594/x
3. Step 3: Cross multiply
   8,077.50x = 12,594 × 12,594
4. Step 4: Simplify right side
   8,077.50x = 158,608,836
5. Step 5: Solve for x
   x = 158,608,836/8,077.50
6. Step 6: Final answer
   x = 19,635.88