Finding the Third Proportional to 32,905 and 72,369

Step by Step Solution

1. Step 1: Write the proportion equation
   32,905 : 72,369 = 72,369 : x
2. Step 2: Convert to fraction form
   32,905/72,369 = 72,369/x
3. Step 3: Cross multiply
   32,905x = 72,369 × 72,369
4. Step 4: Simplify right side
   32,905x = 5,237,272,161
5. Step 5: Solve for x
   x = 5,237,272,161/32,905
6. Step 6: Final answer
   x = 159,163.41