Finding the Third Proportional to 34,677 and 77,142

Step by Step Solution

1. Step 1: Write the proportion equation
   34,677 : 77,142 = 77,142 : x
2. Step 2: Convert to fraction form
   34,677/77,142 = 77,142/x
3. Step 3: Cross multiply
   34,677x = 77,142 × 77,142
4. Step 4: Simplify right side
   34,677x = 5,950,888,164
5. Step 5: Solve for x
   x = 5,950,888,164/34,677
6. Step 6: Final answer
   x = 171,609.08