Finding the Third Proportional to 25,658 and 55,688

Step by Step Solution

1. Step 1: Write the proportion equation
   25,658 : 55,688 = 55,688 : x
2. Step 2: Convert to fraction form
   25,658/55,688 = 55,688/x
3. Step 3: Cross multiply
   25,658x = 55,688 × 55,688
4. Step 4: Simplify right side
   25,658x = 3,101,153,344
5. Step 5: Solve for x
   x = 3,101,153,344/25,658
6. Step 6: Final answer
   x = 120,864.97