Finding the Third Proportional to 38,776.50 and 83,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,776.50 : 83,749.50 = 83,749.50 : x
2. Step 2: Convert to fraction form
   38,776.50/83,749.50 = 83,749.50/x
3. Step 3: Cross multiply
   38,776.50x = 83,749.50 × 83,749.50
4. Step 4: Simplify right side
   38,776.50x = 7,013,978,750.25
5. Step 5: Solve for x
   x = 7,013,978,750.25/38,776.50
6. Step 6: Final answer
   x = 180,882.20