Finding the Third Proportional to 35,758 and 77,140

Step by Step Solution

1. Step 1: Write the proportion equation
   35,758 : 77,140 = 77,140 : x
2. Step 2: Convert to fraction form
   35,758/77,140 = 77,140/x
3. Step 3: Cross multiply
   35,758x = 77,140 × 77,140
4. Step 4: Simplify right side
   35,758x = 5,950,579,600
5. Step 5: Solve for x
   x = 5,950,579,600/35,758
6. Step 6: Final answer
   x = 166,412.54