Finding the Third Proportional to 38,459.50 and 82,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,459.50 : 82,021.50 = 82,021.50 : x
2. Step 2: Convert to fraction form
   38,459.50/82,021.50 = 82,021.50/x
3. Step 3: Cross multiply
   38,459.50x = 82,021.50 × 82,021.50
4. Step 4: Simplify right side
   38,459.50x = 6,727,526,462.25
5. Step 5: Solve for x
   x = 6,727,526,462.25/38,459.50
6. Step 6: Final answer
   x = 174,924.96