Finding the Third Proportional to 38,188 and 82,910

Step by Step Solution

1. Step 1: Write the proportion equation
   38,188 : 82,910 = 82,910 : x
2. Step 2: Convert to fraction form
   38,188/82,910 = 82,910/x
3. Step 3: Cross multiply
   38,188x = 82,910 × 82,910
4. Step 4: Simplify right side
   38,188x = 6,874,068,100
5. Step 5: Solve for x
   x = 6,874,068,100/38,188
6. Step 6: Final answer
   x = 180,005.97