Finding the Third Proportional to 38,258.06 and 83,403.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,258.06 : 83,403.75 = 83,403.75 : x
2. Step 2: Convert to fraction form
   38,258.06/83,403.75 = 83,403.75/x
3. Step 3: Cross multiply
   38,258.06x = 83,403.75 × 83,403.75
4. Step 4: Simplify right side
   38,258.06x = 6,956,185,514.06
5. Step 5: Solve for x
   x = 6,956,185,514.06/38,258.06
6. Step 6: Final answer
   x = 181,822.73