Finding the Third Proportional to 38,783.81 and 83,505.94

Step by Step Solution

1. Step 1: Write the proportion equation
   38,783.81 : 83,505.94 = 83,505.94 : x
2. Step 2: Convert to fraction form
   38,783.81/83,505.94 = 83,505.94/x
3. Step 3: Cross multiply
   38,783.81x = 83,505.94 × 83,505.94
4. Step 4: Simplify right side
   38,783.81x = 6,973,241,597.75
5. Step 5: Solve for x
   x = 6,973,241,597.75/38,783.81
6. Step 6: Final answer
   x = 179,797.73