Finding the Third Proportional to 34,566 and 70,590

Step by Step Solution

1. Step 1: Write the proportion equation
   34,566 : 70,590 = 70,590 : x
2. Step 2: Convert to fraction form
   34,566/70,590 = 70,590/x
3. Step 3: Cross multiply
   34,566x = 70,590 × 70,590
4. Step 4: Simplify right side
   34,566x = 4,982,948,100
5. Step 5: Solve for x
   x = 4,982,948,100/34,566
6. Step 6: Final answer
   x = 144,157.50