Finding the Third Proportional to 34,141 and 71,007

Step by Step Solution

1. Step 1: Write the proportion equation
   34,141 : 71,007 = 71,007 : x
2. Step 2: Convert to fraction form
   34,141/71,007 = 71,007/x
3. Step 3: Cross multiply
   34,141x = 71,007 × 71,007
4. Step 4: Simplify right side
   34,141x = 5,041,994,049
5. Step 5: Solve for x
   x = 5,041,994,049/34,141
6. Step 6: Final answer
   x = 147,681.50