Finding the Third Proportional to 38,388 and 82,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,388 : 82,606.50 = 82,606.50 : x
2. Step 2: Convert to fraction form
   38,388/82,606.50 = 82,606.50/x
3. Step 3: Cross multiply
   38,388x = 82,606.50 × 82,606.50
4. Step 4: Simplify right side
   38,388x = 6,823,833,842.25
5. Step 5: Solve for x
   x = 6,823,833,842.25/38,388
6. Step 6: Final answer
   x = 177,759.56