Finding the Third Proportional to 36,409.50 and 53,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,409.50 : 53,401.50 = 53,401.50 : x
2. Step 2: Convert to fraction form
   36,409.50/53,401.50 = 53,401.50/x
3. Step 3: Cross multiply
   36,409.50x = 53,401.50 × 53,401.50
4. Step 4: Simplify right side
   36,409.50x = 2,851,720,202.25
5. Step 5: Solve for x
   x = 2,851,720,202.25/36,409.50
6. Step 6: Final answer
   x = 78,323.52