Finding the Third Proportional to 38,183.06 and 83,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,183.06 : 83,893.50 = 83,893.50 : x
2. Step 2: Convert to fraction form
   38,183.06/83,893.50 = 83,893.50/x
3. Step 3: Cross multiply
   38,183.06x = 83,893.50 × 83,893.50
4. Step 4: Simplify right side
   38,183.06x = 7,038,119,342.25
5. Step 5: Solve for x
   x = 7,038,119,342.25/38,183.06
6. Step 6: Final answer
   x = 184,325.69