Finding the Third Proportional to 34,700 and 71,861

Step by Step Solution

1. Step 1: Write the proportion equation
   34,700 : 71,861 = 71,861 : x
2. Step 2: Convert to fraction form
   34,700/71,861 = 71,861/x
3. Step 3: Cross multiply
   34,700x = 71,861 × 71,861
4. Step 4: Simplify right side
   34,700x = 5,164,003,321
5. Step 5: Solve for x
   x = 5,164,003,321/34,700
6. Step 6: Final answer
   x = 148,818.54