Finding the Third Proportional to 52,409 and 83,028

Step by Step Solution

1. Step 1: Write the proportion equation
   52,409 : 83,028 = 83,028 : x
2. Step 2: Convert to fraction form
   52,409/83,028 = 83,028/x
3. Step 3: Cross multiply
   52,409x = 83,028 × 83,028
4. Step 4: Simplify right side
   52,409x = 6,893,648,784
5. Step 5: Solve for x
   x = 6,893,648,784/52,409
6. Step 6: Final answer
   x = 131,535.59