Finding the Third Proportional to 31,858 and 69,168

Step by Step Solution

1. Step 1: Write the proportion equation
   31,858 : 69,168 = 69,168 : x
2. Step 2: Convert to fraction form
   31,858/69,168 = 69,168/x
3. Step 3: Cross multiply
   31,858x = 69,168 × 69,168
4. Step 4: Simplify right side
   31,858x = 4,784,212,224
5. Step 5: Solve for x
   x = 4,784,212,224/31,858
6. Step 6: Final answer
   x = 150,173.02