Finding the Third Proportional to 25,659 and 56,646

Step by Step Solution

1. Step 1: Write the proportion equation
   25,659 : 56,646 = 56,646 : x
2. Step 2: Convert to fraction form
   25,659/56,646 = 56,646/x
3. Step 3: Cross multiply
   25,659x = 56,646 × 56,646
4. Step 4: Simplify right side
   25,659x = 3,208,769,316
5. Step 5: Solve for x
   x = 3,208,769,316/25,659
6. Step 6: Final answer
   x = 125,054.34