Finding the Third Proportional to 25,730 and 56,377

Step by Step Solution

1. Step 1: Write the proportion equation
   25,730 : 56,377 = 56,377 : x
2. Step 2: Convert to fraction form
   25,730/56,377 = 56,377/x
3. Step 3: Cross multiply
   25,730x = 56,377 × 56,377
4. Step 4: Simplify right side
   25,730x = 3,178,366,129
5. Step 5: Solve for x
   x = 3,178,366,129/25,730
6. Step 6: Final answer
   x = 123,527.64