Finding the Third Proportional to 27,376 and 59,250

Step by Step Solution

1. Step 1: Write the proportion equation
   27,376 : 59,250 = 59,250 : x
2. Step 2: Convert to fraction form
   27,376/59,250 = 59,250/x
3. Step 3: Cross multiply
   27,376x = 59,250 × 59,250
4. Step 4: Simplify right side
   27,376x = 3,510,562,500
5. Step 5: Solve for x
   x = 3,510,562,500/27,376
6. Step 6: Final answer
   x = 128,235.04