Finding the Third Proportional to 38,938 and 83,798

Step by Step Solution

1. Step 1: Write the proportion equation
   38,938 : 83,798 = 83,798 : x
2. Step 2: Convert to fraction form
   38,938/83,798 = 83,798/x
3. Step 3: Cross multiply
   38,938x = 83,798 × 83,798
4. Step 4: Simplify right side
   38,938x = 7,022,104,804
5. Step 5: Solve for x
   x = 7,022,104,804/38,938
6. Step 6: Final answer
   x = 180,340.66