Finding the Third Proportional to 34,870 and 71,594

Step by Step Solution

1. Step 1: Write the proportion equation
   34,870 : 71,594 = 71,594 : x
2. Step 2: Convert to fraction form
   34,870/71,594 = 71,594/x
3. Step 3: Cross multiply
   34,870x = 71,594 × 71,594
4. Step 4: Simplify right side
   34,870x = 5,125,700,836
5. Step 5: Solve for x
   x = 5,125,700,836/34,870
6. Step 6: Final answer
   x = 146,994.58