Finding the Third Proportional to 9,843 and 12,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,843 : 12,772.50 = 12,772.50 : x
2. Step 2: Convert to fraction form
   9,843/12,772.50 = 12,772.50/x
3. Step 3: Cross multiply
   9,843x = 12,772.50 × 12,772.50
4. Step 4: Simplify right side
   9,843x = 163,136,756.25
5. Step 5: Solve for x
   x = 163,136,756.25/9,843
6. Step 6: Final answer
   x = 16,573.89