Finding the Third Proportional to 65,029.50 and 96,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,029.50 : 96,997.50 = 96,997.50 : x
2. Step 2: Convert to fraction form
   65,029.50/96,997.50 = 96,997.50/x
3. Step 3: Cross multiply
   65,029.50x = 96,997.50 × 96,997.50
4. Step 4: Simplify right side
   65,029.50x = 9,408,515,006.25
5. Step 5: Solve for x
   x = 9,408,515,006.25/65,029.50
6. Step 6: Final answer
   x = 144,680.72