Finding the Third Proportional to 31,886 and 86,732

Step by Step Solution

1. Step 1: Write the proportion equation
   31,886 : 86,732 = 86,732 : x
2. Step 2: Convert to fraction form
   31,886/86,732 = 86,732/x
3. Step 3: Cross multiply
   31,886x = 86,732 × 86,732
4. Step 4: Simplify right side
   31,886x = 7,522,439,824
5. Step 5: Solve for x
   x = 7,522,439,824/31,886
6. Step 6: Final answer
   x = 235,916.70