Finding the Third Proportional to 34,200 and 71,838

Step by Step Solution

1. Step 1: Write the proportion equation
   34,200 : 71,838 = 71,838 : x
2. Step 2: Convert to fraction form
   34,200/71,838 = 71,838/x
3. Step 3: Cross multiply
   34,200x = 71,838 × 71,838
4. Step 4: Simplify right side
   34,200x = 5,160,698,244
5. Step 5: Solve for x
   x = 5,160,698,244/34,200
6. Step 6: Final answer
   x = 150,897.61