Finding the Third Proportional to 14,616 and 31,864

Step by Step Solution

1. Step 1: Write the proportion equation
   14,616 : 31,864 = 31,864 : x
2. Step 2: Convert to fraction form
   14,616/31,864 = 31,864/x
3. Step 3: Cross multiply
   14,616x = 31,864 × 31,864
4. Step 4: Simplify right side
   14,616x = 1,015,314,496
5. Step 5: Solve for x
   x = 1,015,314,496/14,616
6. Step 6: Final answer
   x = 69,465.96