Finding the Third Proportional to 33,624 and 52,632

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 52,632 = 52,632 : x
2. Step 2: Convert to fraction form
   33,624/52,632 = 52,632/x
3. Step 3: Cross multiply
   33,624x = 52,632 × 52,632
4. Step 4: Simplify right side
   33,624x = 2,770,127,424
5. Step 5: Solve for x
   x = 2,770,127,424/33,624
6. Step 6: Final answer
   x = 82,385.42