Finding the Third Proportional to 31,654 and 69,346

Step by Step Solution

1. Step 1: Write the proportion equation
   31,654 : 69,346 = 69,346 : x
2. Step 2: Convert to fraction form
   31,654/69,346 = 69,346/x
3. Step 3: Cross multiply
   31,654x = 69,346 × 69,346
4. Step 4: Simplify right side
   31,654x = 4,808,867,716
5. Step 5: Solve for x
   x = 4,808,867,716/31,654
6. Step 6: Final answer
   x = 151,919.75