Finding the Third Proportional to 31,116 and 46,566

Step by Step Solution

1. Step 1: Write the proportion equation
   31,116 : 46,566 = 46,566 : x
2. Step 2: Convert to fraction form
   31,116/46,566 = 46,566/x
3. Step 3: Cross multiply
   31,116x = 46,566 × 46,566
4. Step 4: Simplify right side
   31,116x = 2,168,392,356
5. Step 5: Solve for x
   x = 2,168,392,356/31,116
6. Step 6: Final answer
   x = 69,687.37