Finding the Third Proportional to 14,584 and 31,970

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584 : 31,970 = 31,970 : x
2. Step 2: Convert to fraction form
   14,584/31,970 = 31,970/x
3. Step 3: Cross multiply
   14,584x = 31,970 × 31,970
4. Step 4: Simplify right side
   14,584x = 1,022,080,900
5. Step 5: Solve for x
   x = 1,022,080,900/14,584
6. Step 6: Final answer
   x = 70,082.34