Finding the Third Proportional to 38,001.25 and 83,144.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,001.25 : 83,144.25 = 83,144.25 : x
2. Step 2: Convert to fraction form
   38,001.25/83,144.25 = 83,144.25/x
3. Step 3: Cross multiply
   38,001.25x = 83,144.25 × 83,144.25
4. Step 4: Simplify right side
   38,001.25x = 6,912,966,308.06
5. Step 5: Solve for x
   x = 6,912,966,308.06/38,001.25
6. Step 6: Final answer
   x = 181,914.18