Finding the Third Proportional to 33,454 and 72,188

Step by Step Solution

1. Step 1: Write the proportion equation
   33,454 : 72,188 = 72,188 : x
2. Step 2: Convert to fraction form
   33,454/72,188 = 72,188/x
3. Step 3: Cross multiply
   33,454x = 72,188 × 72,188
4. Step 4: Simplify right side
   33,454x = 5,211,107,344
5. Step 5: Solve for x
   x = 5,211,107,344/33,454
6. Step 6: Final answer
   x = 155,769.34