Finding the Third Proportional to 33,624 and 47,123

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 47,123 = 47,123 : x
2. Step 2: Convert to fraction form
   33,624/47,123 = 47,123/x
3. Step 3: Cross multiply
   33,624x = 47,123 × 47,123
4. Step 4: Simplify right side
   33,624x = 2,220,577,129
5. Step 5: Solve for x
   x = 2,220,577,129/33,624
6. Step 6: Final answer
   x = 66,041.43