Finding the Third Proportional to 38,329 and 83,947

Step by Step Solution

1. Step 1: Write the proportion equation
   38,329 : 83,947 = 83,947 : x
2. Step 2: Convert to fraction form
   38,329/83,947 = 83,947/x
3. Step 3: Cross multiply
   38,329x = 83,947 × 83,947
4. Step 4: Simplify right side
   38,329x = 7,047,098,809
5. Step 5: Solve for x
   x = 7,047,098,809/38,329
6. Step 6: Final answer
   x = 183,858.14