Finding the Third Proportional to 33,888 and 72,672

Step by Step Solution

1. Step 1: Write the proportion equation
   33,888 : 72,672 = 72,672 : x
2. Step 2: Convert to fraction form
   33,888/72,672 = 72,672/x
3. Step 3: Cross multiply
   33,888x = 72,672 × 72,672
4. Step 4: Simplify right side
   33,888x = 5,281,219,584
5. Step 5: Solve for x
   x = 5,281,219,584/33,888
6. Step 6: Final answer
   x = 155,843.35