Finding the Third Proportional to 27,500 and 59,392

Step by Step Solution

1. Step 1: Write the proportion equation
   27,500 : 59,392 = 59,392 : x
2. Step 2: Convert to fraction form
   27,500/59,392 = 59,392/x
3. Step 3: Cross multiply
   27,500x = 59,392 × 59,392
4. Step 4: Simplify right side
   27,500x = 3,527,409,664
5. Step 5: Solve for x
   x = 3,527,409,664/27,500
6. Step 6: Final answer
   x = 128,269.44