Finding the Third Proportional to 32,902 and 72,054

Step by Step Solution

1. Step 1: Write the proportion equation
   32,902 : 72,054 = 72,054 : x
2. Step 2: Convert to fraction form
   32,902/72,054 = 72,054/x
3. Step 3: Cross multiply
   32,902x = 72,054 × 72,054
4. Step 4: Simplify right side
   32,902x = 5,191,778,916
5. Step 5: Solve for x
   x = 5,191,778,916/32,902
6. Step 6: Final answer
   x = 157,795.24