Finding the Third Proportional to 36,006.50 and 84,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,006.50 : 84,119.50 = 84,119.50 : x
2. Step 2: Convert to fraction form
   36,006.50/84,119.50 = 84,119.50/x
3. Step 3: Cross multiply
   36,006.50x = 84,119.50 × 84,119.50
4. Step 4: Simplify right side
   36,006.50x = 7,076,090,280.25
5. Step 5: Solve for x
   x = 7,076,090,280.25/36,006.50
6. Step 6: Final answer
   x = 196,522.58