Finding the Third Proportional to 32,231 and 69,997

Step by Step Solution

1. Step 1: Write the proportion equation
   32,231 : 69,997 = 69,997 : x
2. Step 2: Convert to fraction form
   32,231/69,997 = 69,997/x
3. Step 3: Cross multiply
   32,231x = 69,997 × 69,997
4. Step 4: Simplify right side
   32,231x = 4,899,580,009
5. Step 5: Solve for x
   x = 4,899,580,009/32,231
6. Step 6: Final answer
   x = 152,014.52