Finding the Third Proportional to 27,872 and 59,560

Step by Step Solution

1. Step 1: Write the proportion equation
   27,872 : 59,560 = 59,560 : x
2. Step 2: Convert to fraction form
   27,872/59,560 = 59,560/x
3. Step 3: Cross multiply
   27,872x = 59,560 × 59,560
4. Step 4: Simplify right side
   27,872x = 3,547,393,600
5. Step 5: Solve for x
   x = 3,547,393,600/27,872
6. Step 6: Final answer
   x = 127,274.45