Finding the Third Proportional to 52,143 and 83,952

Step by Step Solution

1. Step 1: Write the proportion equation
   52,143 : 83,952 = 83,952 : x
2. Step 2: Convert to fraction form
   52,143/83,952 = 83,952/x
3. Step 3: Cross multiply
   52,143x = 83,952 × 83,952
4. Step 4: Simplify right side
   52,143x = 7,047,938,304
5. Step 5: Solve for x
   x = 7,047,938,304/52,143
6. Step 6: Final answer
   x = 135,165.57