Finding the Third Proportional to 36,216 and 76,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,216 : 76,504.50 = 76,504.50 : x
2. Step 2: Convert to fraction form
   36,216/76,504.50 = 76,504.50/x
3. Step 3: Cross multiply
   36,216x = 76,504.50 × 76,504.50
4. Step 4: Simplify right side
   36,216x = 5,852,938,520.25
5. Step 5: Solve for x
   x = 5,852,938,520.25/36,216
6. Step 6: Final answer
   x = 161,611.95