Finding the Third Proportional to 31,323 and 65,232

Step by Step Solution

1. Step 1: Write the proportion equation
   31,323 : 65,232 = 65,232 : x
2. Step 2: Convert to fraction form
   31,323/65,232 = 65,232/x
3. Step 3: Cross multiply
   31,323x = 65,232 × 65,232
4. Step 4: Simplify right side
   31,323x = 4,255,213,824
5. Step 5: Solve for x
   x = 4,255,213,824/31,323
6. Step 6: Final answer
   x = 135,849.50