Finding the Third Proportional to 35,113 and 75,906

Step by Step Solution

1. Step 1: Write the proportion equation
   35,113 : 75,906 = 75,906 : x
2. Step 2: Convert to fraction form
   35,113/75,906 = 75,906/x
3. Step 3: Cross multiply
   35,113x = 75,906 × 75,906
4. Step 4: Simplify right side
   35,113x = 5,761,720,836
5. Step 5: Solve for x
   x = 5,761,720,836/35,113
6. Step 6: Final answer
   x = 164,090.82