Finding the Third Proportional to 38,412.56 and 83,829.94

Step by Step Solution

1. Step 1: Write the proportion equation
   38,412.56 : 83,829.94 = 83,829.94 : x
2. Step 2: Convert to fraction form
   38,412.56/83,829.94 = 83,829.94/x
3. Step 3: Cross multiply
   38,412.56x = 83,829.94 × 83,829.94
4. Step 4: Simplify right side
   38,412.56x = 7,027,458,421.25
5. Step 5: Solve for x
   x = 7,027,458,421.25/38,412.56
6. Step 6: Final answer
   x = 182,946.88