Finding the Third Proportional to 26,006 and 56,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,006 : 56,019.50 = 56,019.50 : x
2. Step 2: Convert to fraction form
   26,006/56,019.50 = 56,019.50/x
3. Step 3: Cross multiply
   26,006x = 56,019.50 × 56,019.50
4. Step 4: Simplify right side
   26,006x = 3,138,184,380.25
5. Step 5: Solve for x
   x = 3,138,184,380.25/26,006
6. Step 6: Final answer
   x = 120,671.55