Finding the Third Proportional to 35,880 and 70,840

Step by Step Solution

1. Step 1: Write the proportion equation
   35,880 : 70,840 = 70,840 : x
2. Step 2: Convert to fraction form
   35,880/70,840 = 70,840/x
3. Step 3: Cross multiply
   35,880x = 70,840 × 70,840
4. Step 4: Simplify right side
   35,880x = 5,018,305,600
5. Step 5: Solve for x
   x = 5,018,305,600/35,880
6. Step 6: Final answer
   x = 139,863.59