Finding the Third Proportional to 42,507 and 83,958

Step by Step Solution

1. Step 1: Write the proportion equation
   42,507 : 83,958 = 83,958 : x
2. Step 2: Convert to fraction form
   42,507/83,958 = 83,958/x
3. Step 3: Cross multiply
   42,507x = 83,958 × 83,958
4. Step 4: Simplify right side
   42,507x = 7,048,945,764
5. Step 5: Solve for x
   x = 7,048,945,764/42,507
6. Step 6: Final answer
   x = 165,830.23