Finding the Third Proportional to 38,775.75 and 83,741.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,775.75 : 83,741.25 = 83,741.25 : x
2. Step 2: Convert to fraction form
   38,775.75/83,741.25 = 83,741.25/x
3. Step 3: Cross multiply
   38,775.75x = 83,741.25 × 83,741.25
4. Step 4: Simplify right side
   38,775.75x = 7,012,596,951.56
5. Step 5: Solve for x
   x = 7,012,596,951.56/38,775.75
6. Step 6: Final answer
   x = 180,850.07