Finding the Third Proportional to 31,880 and 65,168

Step by Step Solution

1. Step 1: Write the proportion equation
   31,880 : 65,168 = 65,168 : x
2. Step 2: Convert to fraction form
   31,880/65,168 = 65,168/x
3. Step 3: Cross multiply
   31,880x = 65,168 × 65,168
4. Step 4: Simplify right side
   31,880x = 4,246,868,224
5. Step 5: Solve for x
   x = 4,246,868,224/31,880
6. Step 6: Final answer
   x = 133,214.19