Finding the Third Proportional to 34,714 and 71,890

Step by Step Solution

1. Step 1: Write the proportion equation
   34,714 : 71,890 = 71,890 : x
2. Step 2: Convert to fraction form
   34,714/71,890 = 71,890/x
3. Step 3: Cross multiply
   34,714x = 71,890 × 71,890
4. Step 4: Simplify right side
   34,714x = 5,168,172,100
5. Step 5: Solve for x
   x = 5,168,172,100/34,714
6. Step 6: Final answer
   x = 148,878.61