Finding the Third Proportional to 38,264 and 83,912

Step by Step Solution

1. Step 1: Write the proportion equation
   38,264 : 83,912 = 83,912 : x
2. Step 2: Convert to fraction form
   38,264/83,912 = 83,912/x
3. Step 3: Cross multiply
   38,264x = 83,912 × 83,912
4. Step 4: Simplify right side
   38,264x = 7,041,223,744
5. Step 5: Solve for x
   x = 7,041,223,744/38,264
6. Step 6: Final answer
   x = 184,016.93