Finding the Third Proportional to 33,658 and 72,889

Step by Step Solution

1. Step 1: Write the proportion equation
   33,658 : 72,889 = 72,889 : x
2. Step 2: Convert to fraction form
   33,658/72,889 = 72,889/x
3. Step 3: Cross multiply
   33,658x = 72,889 × 72,889
4. Step 4: Simplify right side
   33,658x = 5,312,806,321
5. Step 5: Solve for x
   x = 5,312,806,321/33,658
6. Step 6: Final answer
   x = 157,846.76