Finding the Third Proportional to 35,814 and 75,898

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 75,898 = 75,898 : x
2. Step 2: Convert to fraction form
   35,814/75,898 = 75,898/x
3. Step 3: Cross multiply
   35,814x = 75,898 × 75,898
4. Step 4: Simplify right side
   35,814x = 5,760,506,404
5. Step 5: Solve for x
   x = 5,760,506,404/35,814
6. Step 6: Final answer
   x = 160,845.10