Finding the Third Proportional to 34,761 and 71,142

Step by Step Solution

1. Step 1: Write the proportion equation
   34,761 : 71,142 = 71,142 : x
2. Step 2: Convert to fraction form
   34,761/71,142 = 71,142/x
3. Step 3: Cross multiply
   34,761x = 71,142 × 71,142
4. Step 4: Simplify right side
   34,761x = 5,061,184,164
5. Step 5: Solve for x
   x = 5,061,184,164/34,761
6. Step 6: Final answer
   x = 145,599.50