Finding the Third Proportional to 59,760 and 83,763

Step by Step Solution

1. Step 1: Write the proportion equation
   59,760 : 83,763 = 83,763 : x
2. Step 2: Convert to fraction form
   59,760/83,763 = 83,763/x
3. Step 3: Cross multiply
   59,760x = 83,763 × 83,763
4. Step 4: Simplify right side
   59,760x = 7,016,240,169
5. Step 5: Solve for x
   x = 7,016,240,169/59,760
6. Step 6: Final answer
   x = 117,406.96