Finding the Third Proportional to 36,147.75 and 76,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,147.75 : 76,669.50 = 76,669.50 : x
2. Step 2: Convert to fraction form
   36,147.75/76,669.50 = 76,669.50/x
3. Step 3: Cross multiply
   36,147.75x = 76,669.50 × 76,669.50
4. Step 4: Simplify right side
   36,147.75x = 5,878,212,230.25
5. Step 5: Solve for x
   x = 5,878,212,230.25/36,147.75
6. Step 6: Final answer
   x = 162,616.27