Finding the Third Proportional to 35,758 and 77,058

Step by Step Solution

1. Step 1: Write the proportion equation
   35,758 : 77,058 = 77,058 : x
2. Step 2: Convert to fraction form
   35,758/77,058 = 77,058/x
3. Step 3: Cross multiply
   35,758x = 77,058 × 77,058
4. Step 4: Simplify right side
   35,758x = 5,937,935,364
5. Step 5: Solve for x
   x = 5,937,935,364/35,758
6. Step 6: Final answer
   x = 166,058.93