Finding the Third Proportional to 34,116 and 69,619

Step by Step Solution

1. Step 1: Write the proportion equation
   34,116 : 69,619 = 69,619 : x
2. Step 2: Convert to fraction form
   34,116/69,619 = 69,619/x
3. Step 3: Cross multiply
   34,116x = 69,619 × 69,619
4. Step 4: Simplify right side
   34,116x = 4,846,805,161
5. Step 5: Solve for x
   x = 4,846,805,161/34,116
6. Step 6: Final answer
   x = 142,068.39