Finding the Third Proportional to 42,099.75 and 82,115.02

Step by Step Solution

1. Step 1: Write the proportion equation
   42,099.75 : 82,115.02 = 82,115.02 : x
2. Step 2: Convert to fraction form
   42,099.75/82,115.02 = 82,115.02/x
3. Step 3: Cross multiply
   42,099.75x = 82,115.02 × 82,115.02
4. Step 4: Simplify right side
   42,099.75x = 6,742,875,791.09
5. Step 5: Solve for x
   x = 6,742,875,791.09/42,099.75
6. Step 6: Final answer
   x = 160,164.27