Finding the Third Proportional to 31,322 and 65,224

Step by Step Solution

1. Step 1: Write the proportion equation
   31,322 : 65,224 = 65,224 : x
2. Step 2: Convert to fraction form
   31,322/65,224 = 65,224/x
3. Step 3: Cross multiply
   31,322x = 65,224 × 65,224
4. Step 4: Simplify right side
   31,322x = 4,254,170,176
5. Step 5: Solve for x
   x = 4,254,170,176/31,322
6. Step 6: Final answer
   x = 135,820.52