Finding the Third Proportional to 38,194.50 and 83,922

Step by Step Solution

1. Step 1: Write the proportion equation
   38,194.50 : 83,922 = 83,922 : x
2. Step 2: Convert to fraction form
   38,194.50/83,922 = 83,922/x
3. Step 3: Cross multiply
   38,194.50x = 83,922 × 83,922
4. Step 4: Simplify right side
   38,194.50x = 7,042,902,084
5. Step 5: Solve for x
   x = 7,042,902,084/38,194.50
6. Step 6: Final answer
   x = 184,395.71