Finding the Third Proportional to 25,834 and 54,776

Step by Step Solution

1. Step 1: Write the proportion equation
   25,834 : 54,776 = 54,776 : x
2. Step 2: Convert to fraction form
   25,834/54,776 = 54,776/x
3. Step 3: Cross multiply
   25,834x = 54,776 × 54,776
4. Step 4: Simplify right side
   25,834x = 3,000,410,176
5. Step 5: Solve for x
   x = 3,000,410,176/25,834
6. Step 6: Final answer
   x = 116,141.91