Finding the Third Proportional to 35,114 and 53,118

Step by Step Solution

1. Step 1: Write the proportion equation
   35,114 : 53,118 = 53,118 : x
2. Step 2: Convert to fraction form
   35,114/53,118 = 53,118/x
3. Step 3: Cross multiply
   35,114x = 53,118 × 53,118
4. Step 4: Simplify right side
   35,114x = 2,821,521,924
5. Step 5: Solve for x
   x = 2,821,521,924/35,114
6. Step 6: Final answer
   x = 80,353.19