Finding the Third Proportional to 54,194 and 71,924

Step by Step Solution

1. Step 1: Write the proportion equation
   54,194 : 71,924 = 71,924 : x
2. Step 2: Convert to fraction form
   54,194/71,924 = 71,924/x
3. Step 3: Cross multiply
   54,194x = 71,924 × 71,924
4. Step 4: Simplify right side
   54,194x = 5,173,061,776
5. Step 5: Solve for x
   x = 5,173,061,776/54,194
6. Step 6: Final answer
   x = 95,454.51