Finding the Third Proportional to 46,718 and 72,538

Step by Step Solution

1. Step 1: Write the proportion equation
   46,718 : 72,538 = 72,538 : x
2. Step 2: Convert to fraction form
   46,718/72,538 = 72,538/x
3. Step 3: Cross multiply
   46,718x = 72,538 × 72,538
4. Step 4: Simplify right side
   46,718x = 5,261,761,444
5. Step 5: Solve for x
   x = 5,261,761,444/46,718
6. Step 6: Final answer
   x = 112,628.14