Finding the Third Proportional to 31,946 and 69,322

Step by Step Solution

1. Step 1: Write the proportion equation
   31,946 : 69,322 = 69,322 : x
2. Step 2: Convert to fraction form
   31,946/69,322 = 69,322/x
3. Step 3: Cross multiply
   31,946x = 69,322 × 69,322
4. Step 4: Simplify right side
   31,946x = 4,805,539,684
5. Step 5: Solve for x
   x = 4,805,539,684/31,946
6. Step 6: Final answer
   x = 150,426.96