Finding the Third Proportional to 38,836.13 and 84,938.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,836.13 : 84,938.63 = 84,938.63 : x
2. Step 2: Convert to fraction form
   38,836.13/84,938.63 = 84,938.63/x
3. Step 3: Cross multiply
   38,836.13x = 84,938.63 × 84,938.63
4. Step 4: Simplify right side
   38,836.13x = 7,214,570,016.89
5. Step 5: Solve for x
   x = 7,214,570,016.89/38,836.13
6. Step 6: Final answer
   x = 185,769.56