Finding the Third Proportional to 35,840 and 70,798

Step by Step Solution

1. Step 1: Write the proportion equation
   35,840 : 70,798 = 70,798 : x
2. Step 2: Convert to fraction form
   35,840/70,798 = 70,798/x
3. Step 3: Cross multiply
   35,840x = 70,798 × 70,798
4. Step 4: Simplify right side
   35,840x = 5,012,356,804
5. Step 5: Solve for x
   x = 5,012,356,804/35,840
6. Step 6: Final answer
   x = 139,853.71