Finding the Third Proportional to 38,235.75 and 83,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,235.75 : 83,383.50 = 83,383.50 : x
2. Step 2: Convert to fraction form
   38,235.75/83,383.50 = 83,383.50/x
3. Step 3: Cross multiply
   38,235.75x = 83,383.50 × 83,383.50
4. Step 4: Simplify right side
   38,235.75x = 6,952,808,072.25
5. Step 5: Solve for x
   x = 6,952,808,072.25/38,235.75
6. Step 6: Final answer
   x = 181,840.50