Finding the Third Proportional to 25,914 and 55,602

Step by Step Solution

1. Step 1: Write the proportion equation
   25,914 : 55,602 = 55,602 : x
2. Step 2: Convert to fraction form
   25,914/55,602 = 55,602/x
3. Step 3: Cross multiply
   25,914x = 55,602 × 55,602
4. Step 4: Simplify right side
   25,914x = 3,091,582,404
5. Step 5: Solve for x
   x = 3,091,582,404/25,914
6. Step 6: Final answer
   x = 119,301.63