Finding the Third Proportional to 34,190 and 71,835

Step by Step Solution

1. Step 1: Write the proportion equation
   34,190 : 71,835 = 71,835 : x
2. Step 2: Convert to fraction form
   34,190/71,835 = 71,835/x
3. Step 3: Cross multiply
   34,190x = 71,835 × 71,835
4. Step 4: Simplify right side
   34,190x = 5,160,267,225
5. Step 5: Solve for x
   x = 5,160,267,225/34,190
6. Step 6: Final answer
   x = 150,929.14