Finding the Third Proportional to 34,758 and 75,890

Step by Step Solution

1. Step 1: Write the proportion equation
   34,758 : 75,890 = 75,890 : x
2. Step 2: Convert to fraction form
   34,758/75,890 = 75,890/x
3. Step 3: Cross multiply
   34,758x = 75,890 × 75,890
4. Step 4: Simplify right side
   34,758x = 5,759,292,100
5. Step 5: Solve for x
   x = 5,759,292,100/34,758
6. Step 6: Final answer
   x = 165,696.88