Finding the Third Proportional to 30,209 and 49,926

Step by Step Solution

1. Step 1: Write the proportion equation
   30,209 : 49,926 = 49,926 : x
2. Step 2: Convert to fraction form
   30,209/49,926 = 49,926/x
3. Step 3: Cross multiply
   30,209x = 49,926 × 49,926
4. Step 4: Simplify right side
   30,209x = 2,492,605,476
5. Step 5: Solve for x
   x = 2,492,605,476/30,209
6. Step 6: Final answer
   x = 82,512.02