Finding the Third Proportional to 34,666 and 70,972

Step by Step Solution

1. Step 1: Write the proportion equation
   34,666 : 70,972 = 70,972 : x
2. Step 2: Convert to fraction form
   34,666/70,972 = 70,972/x
3. Step 3: Cross multiply
   34,666x = 70,972 × 70,972
4. Step 4: Simplify right side
   34,666x = 5,037,024,784
5. Step 5: Solve for x
   x = 5,037,024,784/34,666
6. Step 6: Final answer
   x = 145,301.59