Finding the Third Proportional to 26,002 and 61,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,002 : 61,319.50 = 61,319.50 : x
2. Step 2: Convert to fraction form
   26,002/61,319.50 = 61,319.50/x
3. Step 3: Cross multiply
   26,002x = 61,319.50 × 61,319.50
4. Step 4: Simplify right side
   26,002x = 3,760,081,080.25
5. Step 5: Solve for x
   x = 3,760,081,080.25/26,002
6. Step 6: Final answer
   x = 144,607.38