Finding the Third Proportional to 57,624 and 84,360

Step by Step Solution

1. Step 1: Write the proportion equation
   57,624 : 84,360 = 84,360 : x
2. Step 2: Convert to fraction form
   57,624/84,360 = 84,360/x
3. Step 3: Cross multiply
   57,624x = 84,360 × 84,360
4. Step 4: Simplify right side
   57,624x = 7,116,609,600
5. Step 5: Solve for x
   x = 7,116,609,600/57,624
6. Step 6: Final answer
   x = 123,500.79