Finding the Third Proportional to 34,694 and 73,706

Step by Step Solution

1. Step 1: Write the proportion equation
   34,694 : 73,706 = 73,706 : x
2. Step 2: Convert to fraction form
   34,694/73,706 = 73,706/x
3. Step 3: Cross multiply
   34,694x = 73,706 × 73,706
4. Step 4: Simplify right side
   34,694x = 5,432,574,436
5. Step 5: Solve for x
   x = 5,432,574,436/34,694
6. Step 6: Final answer
   x = 156,585.42