Finding the Third Proportional to 31,902 and 69,630

Step by Step Solution

1. Step 1: Write the proportion equation
   31,902 : 69,630 = 69,630 : x
2. Step 2: Convert to fraction form
   31,902/69,630 = 69,630/x
3. Step 3: Cross multiply
   31,902x = 69,630 × 69,630
4. Step 4: Simplify right side
   31,902x = 4,848,336,900
5. Step 5: Solve for x
   x = 4,848,336,900/31,902
6. Step 6: Final answer
   x = 151,975.95