Finding the Third Proportional to 7,538 and 9,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538 : 9,970.50 = 9,970.50 : x
2. Step 2: Convert to fraction form
   7,538/9,970.50 = 9,970.50/x
3. Step 3: Cross multiply
   7,538x = 9,970.50 × 9,970.50
4. Step 4: Simplify right side
   7,538x = 99,410,870.25
5. Step 5: Solve for x
   x = 99,410,870.25/7,538
6. Step 6: Final answer
   x = 13,187.96