Finding the Third Proportional to 38,191 and 83,764

Step by Step Solution

1. Step 1: Write the proportion equation
   38,191 : 83,764 = 83,764 : x
2. Step 2: Convert to fraction form
   38,191/83,764 = 83,764/x
3. Step 3: Cross multiply
   38,191x = 83,764 × 83,764
4. Step 4: Simplify right side
   38,191x = 7,016,407,696
5. Step 5: Solve for x
   x = 7,016,407,696/38,191
6. Step 6: Final answer
   x = 183,718.88