Finding the Third Proportional to 46,584 and 72,643

Step by Step Solution

1. Step 1: Write the proportion equation
   46,584 : 72,643 = 72,643 : x
2. Step 2: Convert to fraction form
   46,584/72,643 = 72,643/x
3. Step 3: Cross multiply
   46,584x = 72,643 × 72,643
4. Step 4: Simplify right side
   46,584x = 5,277,005,449
5. Step 5: Solve for x
   x = 5,277,005,449/46,584
6. Step 6: Final answer
   x = 113,279.35