Finding the Third Proportional to 35,780 and 70,658

Step by Step Solution

1. Step 1: Write the proportion equation
   35,780 : 70,658 = 70,658 : x
2. Step 2: Convert to fraction form
   35,780/70,658 = 70,658/x
3. Step 3: Cross multiply
   35,780x = 70,658 × 70,658
4. Step 4: Simplify right side
   35,780x = 4,992,552,964
5. Step 5: Solve for x
   x = 4,992,552,964/35,780
6. Step 6: Final answer
   x = 139,534.74