Finding the Third Proportional to 34,189 and 71,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,189 : 71,833.50 = 71,833.50 : x
2. Step 2: Convert to fraction form
   34,189/71,833.50 = 71,833.50/x
3. Step 3: Cross multiply
   34,189x = 71,833.50 × 71,833.50
4. Step 4: Simplify right side
   34,189x = 5,160,051,722.25
5. Step 5: Solve for x
   x = 5,160,051,722.25/34,189
6. Step 6: Final answer
   x = 150,927.25