Finding the Third Proportional to 72,426 and 102,519

Step by Step Solution

1. Step 1: Write the proportion equation
   72,426 : 102,519 = 102,519 : x
2. Step 2: Convert to fraction form
   72,426/102,519 = 102,519/x
3. Step 3: Cross multiply
   72,426x = 102,519 × 102,519
4. Step 4: Simplify right side
   72,426x = 10,510,145,361
5. Step 5: Solve for x
   x = 10,510,145,361/72,426
6. Step 6: Final answer
   x = 145,115.64