Finding the Third Proportional to 46,100 and 72,362

Step by Step Solution

1. Step 1: Write the proportion equation
   46,100 : 72,362 = 72,362 : x
2. Step 2: Convert to fraction form
   46,100/72,362 = 72,362/x
3. Step 3: Cross multiply
   46,100x = 72,362 × 72,362
4. Step 4: Simplify right side
   46,100x = 5,236,259,044
5. Step 5: Solve for x
   x = 5,236,259,044/46,100
6. Step 6: Final answer
   x = 113,584.79