Finding the Third Proportional to 32,886 and 72,333

Step by Step Solution

1. Step 1: Write the proportion equation
   32,886 : 72,333 = 72,333 : x
2. Step 2: Convert to fraction form
   32,886/72,333 = 72,333/x
3. Step 3: Cross multiply
   32,886x = 72,333 × 72,333
4. Step 4: Simplify right side
   32,886x = 5,232,062,889
5. Step 5: Solve for x
   x = 5,232,062,889/32,886
6. Step 6: Final answer
   x = 159,096.97