Finding the Third Proportional to 50,306 and 64,522

Step by Step Solution

1. Step 1: Write the proportion equation
   50,306 : 64,522 = 64,522 : x
2. Step 2: Convert to fraction form
   50,306/64,522 = 64,522/x
3. Step 3: Cross multiply
   50,306x = 64,522 × 64,522
4. Step 4: Simplify right side
   50,306x = 4,163,088,484
5. Step 5: Solve for x
   x = 4,163,088,484/50,306
6. Step 6: Final answer
   x = 82,755.31