Finding the Third Proportional to 37,777.50 and 82,719

Step by Step Solution

1. Step 1: Write the proportion equation
   37,777.50 : 82,719 = 82,719 : x
2. Step 2: Convert to fraction form
   37,777.50/82,719 = 82,719/x
3. Step 3: Cross multiply
   37,777.50x = 82,719 × 82,719
4. Step 4: Simplify right side
   37,777.50x = 6,842,432,961
5. Step 5: Solve for x
   x = 6,842,432,961/37,777.50
6. Step 6: Final answer
   x = 181,124.56