Finding the Third Proportional to 38,644 and 81,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,644 : 81,438.50 = 81,438.50 : x
2. Step 2: Convert to fraction form
   38,644/81,438.50 = 81,438.50/x
3. Step 3: Cross multiply
   38,644x = 81,438.50 × 81,438.50
4. Step 4: Simplify right side
   38,644x = 6,632,229,282.25
5. Step 5: Solve for x
   x = 6,632,229,282.25/38,644
6. Step 6: Final answer
   x = 171,623.78