Finding the Third Proportional to 32,144 and 73,925

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 73,925 = 73,925 : x
2. Step 2: Convert to fraction form
   32,144/73,925 = 73,925/x
3. Step 3: Cross multiply
   32,144x = 73,925 × 73,925
4. Step 4: Simplify right side
   32,144x = 5,464,905,625
5. Step 5: Solve for x
   x = 5,464,905,625/32,144
6. Step 6: Final answer
   x = 170,013.24