Finding the Third Proportional to 9,729 and 12,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729 : 12,997.50 = 12,997.50 : x
2. Step 2: Convert to fraction form
   9,729/12,997.50 = 12,997.50/x
3. Step 3: Cross multiply
   9,729x = 12,997.50 × 12,997.50
4. Step 4: Simplify right side
   9,729x = 168,935,006.25
5. Step 5: Solve for x
   x = 168,935,006.25/9,729
6. Step 6: Final answer
   x = 17,364.07