Finding the Third Proportional to 26,001 and 42,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,001 : 42,709.50 = 42,709.50 : x
2. Step 2: Convert to fraction form
   26,001/42,709.50 = 42,709.50/x
3. Step 3: Cross multiply
   26,001x = 42,709.50 × 42,709.50
4. Step 4: Simplify right side
   26,001x = 1,824,101,390.25
5. Step 5: Solve for x
   x = 1,824,101,390.25/26,001
6. Step 6: Final answer
   x = 70,155.05