Finding the Third Proportional to 16,624 and 35,719

Step by Step Solution

1. Step 1: Write the proportion equation
   16,624 : 35,719 = 35,719 : x
2. Step 2: Convert to fraction form
   16,624/35,719 = 35,719/x
3. Step 3: Cross multiply
   16,624x = 35,719 × 35,719
4. Step 4: Simplify right side
   16,624x = 1,275,846,961
5. Step 5: Solve for x
   x = 1,275,846,961/16,624
6. Step 6: Final answer
   x = 76,747.29