Finding the Third Proportional to 38,267 and 81,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,267 : 81,086.50 = 81,086.50 : x
2. Step 2: Convert to fraction form
   38,267/81,086.50 = 81,086.50/x
3. Step 3: Cross multiply
   38,267x = 81,086.50 × 81,086.50
4. Step 4: Simplify right side
   38,267x = 6,575,020,482.25
5. Step 5: Solve for x
   x = 6,575,020,482.25/38,267
6. Step 6: Final answer
   x = 171,819.60