Finding the Third Proportional to 38,014 and 88,094

Step by Step Solution

1. Step 1: Write the proportion equation
   38,014 : 88,094 = 88,094 : x
2. Step 2: Convert to fraction form
   38,014/88,094 = 88,094/x
3. Step 3: Cross multiply
   38,014x = 88,094 × 88,094
4. Step 4: Simplify right side
   38,014x = 7,760,552,836
5. Step 5: Solve for x
   x = 7,760,552,836/38,014
6. Step 6: Final answer
   x = 204,149.86