Finding the Third Proportional to 15,781 and 34,010

Step by Step Solution

1. Step 1: Write the proportion equation
   15,781 : 34,010 = 34,010 : x
2. Step 2: Convert to fraction form
   15,781/34,010 = 34,010/x
3. Step 3: Cross multiply
   15,781x = 34,010 × 34,010
4. Step 4: Simplify right side
   15,781x = 1,156,680,100
5. Step 5: Solve for x
   x = 1,156,680,100/15,781
6. Step 6: Final answer
   x = 73,295.74