Finding the Third Proportional to 37,669.50 and 82,575

Step by Step Solution

1. Step 1: Write the proportion equation
   37,669.50 : 82,575 = 82,575 : x
2. Step 2: Convert to fraction form
   37,669.50/82,575 = 82,575/x
3. Step 3: Cross multiply
   37,669.50x = 82,575 × 82,575
4. Step 4: Simplify right side
   37,669.50x = 6,818,630,625
5. Step 5: Solve for x
   x = 6,818,630,625/37,669.50
6. Step 6: Final answer
   x = 181,011.98