Finding the Third Proportional to 35,046 and 76,890

Step by Step Solution

1. Step 1: Write the proportion equation
   35,046 : 76,890 = 76,890 : x
2. Step 2: Convert to fraction form
   35,046/76,890 = 76,890/x
3. Step 3: Cross multiply
   35,046x = 76,890 × 76,890
4. Step 4: Simplify right side
   35,046x = 5,912,072,100
5. Step 5: Solve for x
   x = 5,912,072,100/35,046
6. Step 6: Final answer
   x = 168,694.63