Finding the Third Proportional to 25,580 and 55,534

Step by Step Solution

1. Step 1: Write the proportion equation
   25,580 : 55,534 = 55,534 : x
2. Step 2: Convert to fraction form
   25,580/55,534 = 55,534/x
3. Step 3: Cross multiply
   25,580x = 55,534 × 55,534
4. Step 4: Simplify right side
   25,580x = 3,084,025,156
5. Step 5: Solve for x
   x = 3,084,025,156/25,580
6. Step 6: Final answer
   x = 120,563.92