Finding the Third Proportional to 31,464 and 69,147

Step by Step Solution

1. Step 1: Write the proportion equation
   31,464 : 69,147 = 69,147 : x
2. Step 2: Convert to fraction form
   31,464/69,147 = 69,147/x
3. Step 3: Cross multiply
   31,464x = 69,147 × 69,147
4. Step 4: Simplify right side
   31,464x = 4,781,307,609
5. Step 5: Solve for x
   x = 4,781,307,609/31,464
6. Step 6: Final answer
   x = 151,961.21