Finding the Third Proportional to 35,023 and 76,846

Step by Step Solution

1. Step 1: Write the proportion equation
   35,023 : 76,846 = 76,846 : x
2. Step 2: Convert to fraction form
   35,023/76,846 = 76,846/x
3. Step 3: Cross multiply
   35,023x = 76,846 × 76,846
4. Step 4: Simplify right side
   35,023x = 5,905,307,716
5. Step 5: Solve for x
   x = 5,905,307,716/35,023
6. Step 6: Final answer
   x = 168,612.28