Finding the Third Proportional to 52,140 and 83,949

Step by Step Solution

1. Step 1: Write the proportion equation
   52,140 : 83,949 = 83,949 : x
2. Step 2: Convert to fraction form
   52,140/83,949 = 83,949/x
3. Step 3: Cross multiply
   52,140x = 83,949 × 83,949
4. Step 4: Simplify right side
   52,140x = 7,047,434,601
5. Step 5: Solve for x
   x = 7,047,434,601/52,140
6. Step 6: Final answer
   x = 135,163.69