Finding the Third Proportional to 33,471 and 72,126

Step by Step Solution

1. Step 1: Write the proportion equation
   33,471 : 72,126 = 72,126 : x
2. Step 2: Convert to fraction form
   33,471/72,126 = 72,126/x
3. Step 3: Cross multiply
   33,471x = 72,126 × 72,126
4. Step 4: Simplify right side
   33,471x = 5,202,159,876
5. Step 5: Solve for x
   x = 5,202,159,876/33,471
6. Step 6: Final answer
   x = 155,422.90