Finding the Third Proportional to 38,886.75 and 83,301.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,886.75 : 83,301.38 = 83,301.38 : x
2. Step 2: Convert to fraction form
   38,886.75/83,301.38 = 83,301.38/x
3. Step 3: Cross multiply
   38,886.75x = 83,301.38 × 83,301.38
4. Step 4: Simplify right side
   38,886.75x = 6,939,119,076.89
5. Step 5: Solve for x
   x = 6,939,119,076.89/38,886.75
6. Step 6: Final answer
   x = 178,444.30