Finding the Third Proportional to 45,624 and 67,770

Step by Step Solution

1. Step 1: Write the proportion equation
   45,624 : 67,770 = 67,770 : x
2. Step 2: Convert to fraction form
   45,624/67,770 = 67,770/x
3. Step 3: Cross multiply
   45,624x = 67,770 × 67,770
4. Step 4: Simplify right side
   45,624x = 4,592,772,900
5. Step 5: Solve for x
   x = 4,592,772,900/45,624
6. Step 6: Final answer
   x = 100,665.72