Finding the Third Proportional to 38,415.75 and 83,835.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,415.75 : 83,835.38 = 83,835.38 : x
2. Step 2: Convert to fraction form
   38,415.75/83,835.38 = 83,835.38/x
3. Step 3: Cross multiply
   38,415.75x = 83,835.38 × 83,835.38
4. Step 4: Simplify right side
   38,415.75x = 7,028,370,101.39
5. Step 5: Solve for x
   x = 7,028,370,101.39/38,415.75
6. Step 6: Final answer
   x = 182,955.43