Finding the Third Proportional to 27,132 and 59,364

Step by Step Solution

1. Step 1: Write the proportion equation
   27,132 : 59,364 = 59,364 : x
2. Step 2: Convert to fraction form
   27,132/59,364 = 59,364/x
3. Step 3: Cross multiply
   27,132x = 59,364 × 59,364
4. Step 4: Simplify right side
   27,132x = 3,524,084,496
5. Step 5: Solve for x
   x = 3,524,084,496/27,132
6. Step 6: Final answer
   x = 129,886.65