Finding the Third Proportional to 22,725 and 46,584

Step by Step Solution

1. Step 1: Write the proportion equation
   22,725 : 46,584 = 46,584 : x
2. Step 2: Convert to fraction form
   22,725/46,584 = 46,584/x
3. Step 3: Cross multiply
   22,725x = 46,584 × 46,584
4. Step 4: Simplify right side
   22,725x = 2,170,069,056
5. Step 5: Solve for x
   x = 2,170,069,056/22,725
6. Step 6: Final answer
   x = 95,492.59