Finding the Third Proportional to 35,526 and 50,499

Step by Step Solution

1. Step 1: Write the proportion equation
   35,526 : 50,499 = 50,499 : x
2. Step 2: Convert to fraction form
   35,526/50,499 = 50,499/x
3. Step 3: Cross multiply
   35,526x = 50,499 × 50,499
4. Step 4: Simplify right side
   35,526x = 2,550,149,001
5. Step 5: Solve for x
   x = 2,550,149,001/35,526
6. Step 6: Final answer
   x = 71,782.61