Finding the Third Proportional to 27,144 and 58,392

Step by Step Solution

1. Step 1: Write the proportion equation
   27,144 : 58,392 = 58,392 : x
2. Step 2: Convert to fraction form
   27,144/58,392 = 58,392/x
3. Step 3: Cross multiply
   27,144x = 58,392 × 58,392
4. Step 4: Simplify right side
   27,144x = 3,409,625,664
5. Step 5: Solve for x
   x = 3,409,625,664/27,144
6. Step 6: Final answer
   x = 125,612.50