Finding the Third Proportional to 36,200 and 53,002

Step by Step Solution

1. Step 1: Write the proportion equation
   36,200 : 53,002 = 53,002 : x
2. Step 2: Convert to fraction form
   36,200/53,002 = 53,002/x
3. Step 3: Cross multiply
   36,200x = 53,002 × 53,002
4. Step 4: Simplify right side
   36,200x = 2,809,212,004
5. Step 5: Solve for x
   x = 2,809,212,004/36,200
6. Step 6: Final answer
   x = 77,602.54