Finding the Third Proportional to 38,575.50 and 83,982

Step by Step Solution

1. Step 1: Write the proportion equation
   38,575.50 : 83,982 = 83,982 : x
2. Step 2: Convert to fraction form
   38,575.50/83,982 = 83,982/x
3. Step 3: Cross multiply
   38,575.50x = 83,982 × 83,982
4. Step 4: Simplify right side
   38,575.50x = 7,052,976,324
5. Step 5: Solve for x
   x = 7,052,976,324/38,575.50
6. Step 6: Final answer
   x = 182,835.64