Finding the Third Proportional to 52,398 and 83,763

Step by Step Solution

1. Step 1: Write the proportion equation
   52,398 : 83,763 = 83,763 : x
2. Step 2: Convert to fraction form
   52,398/83,763 = 83,763/x
3. Step 3: Cross multiply
   52,398x = 83,763 × 83,763
4. Step 4: Simplify right side
   52,398x = 7,016,240,169
5. Step 5: Solve for x
   x = 7,016,240,169/52,398
6. Step 6: Final answer
   x = 133,902.82