Finding the Third Proportional to 35,320 and 50,213

Step by Step Solution

1. Step 1: Write the proportion equation
   35,320 : 50,213 = 50,213 : x
2. Step 2: Convert to fraction form
   35,320/50,213 = 50,213/x
3. Step 3: Cross multiply
   35,320x = 50,213 × 50,213
4. Step 4: Simplify right side
   35,320x = 2,521,345,369
5. Step 5: Solve for x
   x = 2,521,345,369/35,320
6. Step 6: Final answer
   x = 71,385.77