Finding the Third Proportional to 35,100 and 71,838

Step by Step Solution

1. Step 1: Write the proportion equation
   35,100 : 71,838 = 71,838 : x
2. Step 2: Convert to fraction form
   35,100/71,838 = 71,838/x
3. Step 3: Cross multiply
   35,100x = 71,838 × 71,838
4. Step 4: Simplify right side
   35,100x = 5,160,698,244
5. Step 5: Solve for x
   x = 5,160,698,244/35,100
6. Step 6: Final answer
   x = 147,028.44