Finding the Third Proportional to 31,664 and 47,008

Step by Step Solution

1. Step 1: Write the proportion equation
   31,664 : 47,008 = 47,008 : x
2. Step 2: Convert to fraction form
   31,664/47,008 = 47,008/x
3. Step 3: Cross multiply
   31,664x = 47,008 × 47,008
4. Step 4: Simplify right side
   31,664x = 2,209,752,064
5. Step 5: Solve for x
   x = 2,209,752,064/31,664
6. Step 6: Final answer
   x = 69,787.52