Finding the Third Proportional to 73,938 and 113,763

Step by Step Solution

1. Step 1: Write the proportion equation
   73,938 : 113,763 = 113,763 : x
2. Step 2: Convert to fraction form
   73,938/113,763 = 113,763/x
3. Step 3: Cross multiply
   73,938x = 113,763 × 113,763
4. Step 4: Simplify right side
   73,938x = 12,942,020,169
5. Step 5: Solve for x
   x = 12,942,020,169/73,938
6. Step 6: Final answer
   x = 175,038.82