Finding the Third Proportional to 38,276.50 and 82,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,276.50 : 82,090.50 = 82,090.50 : x
2. Step 2: Convert to fraction form
   38,276.50/82,090.50 = 82,090.50/x
3. Step 3: Cross multiply
   38,276.50x = 82,090.50 × 82,090.50
4. Step 4: Simplify right side
   38,276.50x = 6,738,850,190.25
5. Step 5: Solve for x
   x = 6,738,850,190.25/38,276.50
6. Step 6: Final answer
   x = 176,057.12