Finding the Third Proportional to 35,616 and 75,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,616 : 75,997.50 = 75,997.50 : x
2. Step 2: Convert to fraction form
   35,616/75,997.50 = 75,997.50/x
3. Step 3: Cross multiply
   35,616x = 75,997.50 × 75,997.50
4. Step 4: Simplify right side
   35,616x = 5,775,620,006.25
5. Step 5: Solve for x
   x = 5,775,620,006.25/35,616
6. Step 6: Final answer
   x = 162,163.63