Finding the Third Proportional to 31,888 and 69,856

Step by Step Solution

1. Step 1: Write the proportion equation
   31,888 : 69,856 = 69,856 : x
2. Step 2: Convert to fraction form
   31,888/69,856 = 69,856/x
3. Step 3: Cross multiply
   31,888x = 69,856 × 69,856
4. Step 4: Simplify right side
   31,888x = 4,879,860,736
5. Step 5: Solve for x
   x = 4,879,860,736/31,888
6. Step 6: Final answer
   x = 153,031.26