Finding the Third Proportional to 37,796.63 and 79,233.19

Step by Step Solution

1. Step 1: Write the proportion equation
   37,796.63 : 79,233.19 = 79,233.19 : x
2. Step 2: Convert to fraction form
   37,796.63/79,233.19 = 79,233.19/x
3. Step 3: Cross multiply
   37,796.63x = 79,233.19 × 79,233.19
4. Step 4: Simplify right side
   37,796.63x = 6,277,898,001.41
5. Step 5: Solve for x
   x = 6,277,898,001.41/37,796.63
6. Step 6: Final answer
   x = 166,096.79