Finding the Third Proportional to 7,624 and 12,140

Step by Step Solution

1. Step 1: Write the proportion equation
   7,624 : 12,140 = 12,140 : x
2. Step 2: Convert to fraction form
   7,624/12,140 = 12,140/x
3. Step 3: Cross multiply
   7,624x = 12,140 × 12,140
4. Step 4: Simplify right side
   7,624x = 147,379,600
5. Step 5: Solve for x
   x = 147,379,600/7,624
6. Step 6: Final answer
   x = 19,331.01