Finding the Third Proportional to 25,506 and 34,155

Step by Step Solution

1. Step 1: Write the proportion equation
   25,506 : 34,155 = 34,155 : x
2. Step 2: Convert to fraction form
   25,506/34,155 = 34,155/x
3. Step 3: Cross multiply
   25,506x = 34,155 × 34,155
4. Step 4: Simplify right side
   25,506x = 1,166,564,025
5. Step 5: Solve for x
   x = 1,166,564,025/25,506
6. Step 6: Final answer
   x = 45,736.85