Finding the Third Proportional to 32,002 and 49,813

Step by Step Solution

1. Step 1: Write the proportion equation
   32,002 : 49,813 = 49,813 : x
2. Step 2: Convert to fraction form
   32,002/49,813 = 49,813/x
3. Step 3: Cross multiply
   32,002x = 49,813 × 49,813
4. Step 4: Simplify right side
   32,002x = 2,481,334,969
5. Step 5: Solve for x
   x = 2,481,334,969/32,002
6. Step 6: Final answer
   x = 77,536.87