Finding the Third Proportional to 38,945.81 and 83,809.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,945.81 : 83,809.69 = 83,809.69 : x
2. Step 2: Convert to fraction form
   38,945.81/83,809.69 = 83,809.69/x
3. Step 3: Cross multiply
   38,945.81x = 83,809.69 × 83,809.69
4. Step 4: Simplify right side
   38,945.81x = 7,024,063,718.85
5. Step 5: Solve for x
   x = 7,024,063,718.85/38,945.81
6. Step 6: Final answer
   x = 180,354.79