Finding the Third Proportional to 14,338 and 31,584

Step by Step Solution

1. Step 1: Write the proportion equation
   14,338 : 31,584 = 31,584 : x
2. Step 2: Convert to fraction form
   14,338/31,584 = 31,584/x
3. Step 3: Cross multiply
   14,338x = 31,584 × 31,584
4. Step 4: Simplify right side
   14,338x = 997,549,056
5. Step 5: Solve for x
   x = 997,549,056/14,338
6. Step 6: Final answer
   x = 69,573.79