Finding the Third Proportional to 38,805.75 and 83,148.19

Step by Step Solution

1. Step 1: Write the proportion equation
   38,805.75 : 83,148.19 = 83,148.19 : x
2. Step 2: Convert to fraction form
   38,805.75/83,148.19 = 83,148.19/x
3. Step 3: Cross multiply
   38,805.75x = 83,148.19 × 83,148.19
4. Step 4: Simplify right side
   38,805.75x = 6,913,621,084.54
5. Step 5: Solve for x
   x = 6,913,621,084.54/38,805.75
6. Step 6: Final answer
   x = 178,159.71