Finding the Third Proportional to 38,194 and 83,910

Step by Step Solution

1. Step 1: Write the proportion equation
   38,194 : 83,910 = 83,910 : x
2. Step 2: Convert to fraction form
   38,194/83,910 = 83,910/x
3. Step 3: Cross multiply
   38,194x = 83,910 × 83,910
4. Step 4: Simplify right side
   38,194x = 7,040,888,100
5. Step 5: Solve for x
   x = 7,040,888,100/38,194
6. Step 6: Final answer
   x = 184,345.40