Finding the Third Proportional to 30,898 and 67,810

Step by Step Solution

1. Step 1: Write the proportion equation
   30,898 : 67,810 = 67,810 : x
2. Step 2: Convert to fraction form
   30,898/67,810 = 67,810/x
3. Step 3: Cross multiply
   30,898x = 67,810 × 67,810
4. Step 4: Simplify right side
   30,898x = 4,598,196,100
5. Step 5: Solve for x
   x = 4,598,196,100/30,898
6. Step 6: Final answer
   x = 148,818.57