Finding the Third Proportional to 80,797.50 and 97,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,797.50 : 97,321.50 = 97,321.50 : x
2. Step 2: Convert to fraction form
   80,797.50/97,321.50 = 97,321.50/x
3. Step 3: Cross multiply
   80,797.50x = 97,321.50 × 97,321.50
4. Step 4: Simplify right side
   80,797.50x = 9,471,474,362.25
5. Step 5: Solve for x
   x = 9,471,474,362.25/80,797.50
6. Step 6: Final answer
   x = 117,224.84