Finding the Third Proportional to 31,784 and 46,688

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 46,688 = 46,688 : x
2. Step 2: Convert to fraction form
   31,784/46,688 = 46,688/x
3. Step 3: Cross multiply
   31,784x = 46,688 × 46,688
4. Step 4: Simplify right side
   31,784x = 2,179,769,344
5. Step 5: Solve for x
   x = 2,179,769,344/31,784
6. Step 6: Final answer
   x = 68,580.71