Finding the Third Proportional to 34,094 and 69,838

Step by Step Solution

1. Step 1: Write the proportion equation
   34,094 : 69,838 = 69,838 : x
2. Step 2: Convert to fraction form
   34,094/69,838 = 69,838/x
3. Step 3: Cross multiply
   34,094x = 69,838 × 69,838
4. Step 4: Simplify right side
   34,094x = 4,877,346,244
5. Step 5: Solve for x
   x = 4,877,346,244/34,094
6. Step 6: Final answer
   x = 143,055.85