Finding the Third Proportional to 31,946.50 and 46,006

Step by Step Solution

1. Step 1: Write the proportion equation
   31,946.50 : 46,006 = 46,006 : x
2. Step 2: Convert to fraction form
   31,946.50/46,006 = 46,006/x
3. Step 3: Cross multiply
   31,946.50x = 46,006 × 46,006
4. Step 4: Simplify right side
   31,946.50x = 2,116,552,036
5. Step 5: Solve for x
   x = 2,116,552,036/31,946.50
6. Step 6: Final answer
   x = 66,253.02