Finding the Third Proportional to 38,215.50 and 83,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,215.50 : 83,995.50 = 83,995.50 : x
2. Step 2: Convert to fraction form
   38,215.50/83,995.50 = 83,995.50/x
3. Step 3: Cross multiply
   38,215.50x = 83,995.50 × 83,995.50
4. Step 4: Simplify right side
   38,215.50x = 7,055,244,020.25
5. Step 5: Solve for x
   x = 7,055,244,020.25/38,215.50
6. Step 6: Final answer
   x = 184,617.34