Finding the Third Proportional to 38,162 and 83,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,162 : 83,111.50 = 83,111.50 : x
2. Step 2: Convert to fraction form
   38,162/83,111.50 = 83,111.50/x
3. Step 3: Cross multiply
   38,162x = 83,111.50 × 83,111.50
4. Step 4: Simplify right side
   38,162x = 6,907,521,432.25
5. Step 5: Solve for x
   x = 6,907,521,432.25/38,162
6. Step 6: Final answer
   x = 181,005.23