Finding the Third Proportional to 14,947 and 31,442

Step by Step Solution

1. Step 1: Write the proportion equation
   14,947 : 31,442 = 31,442 : x
2. Step 2: Convert to fraction form
   14,947/31,442 = 31,442/x
3. Step 3: Cross multiply
   14,947x = 31,442 × 31,442
4. Step 4: Simplify right side
   14,947x = 988,599,364
5. Step 5: Solve for x
   x = 988,599,364/14,947
6. Step 6: Final answer
   x = 66,140.32