Finding the Third Proportional to 25,898 and 55,572

Step by Step Solution

1. Step 1: Write the proportion equation
   25,898 : 55,572 = 55,572 : x
2. Step 2: Convert to fraction form
   25,898/55,572 = 55,572/x
3. Step 3: Cross multiply
   25,898x = 55,572 × 55,572
4. Step 4: Simplify right side
   25,898x = 3,088,247,184
5. Step 5: Solve for x
   x = 3,088,247,184/25,898
6. Step 6: Final answer
   x = 119,246.55