Finding the Third Proportional to 52,405 and 83,038

Step by Step Solution

1. Step 1: Write the proportion equation
   52,405 : 83,038 = 83,038 : x
2. Step 2: Convert to fraction form
   52,405/83,038 = 83,038/x
3. Step 3: Cross multiply
   52,405x = 83,038 × 83,038
4. Step 4: Simplify right side
   52,405x = 6,895,309,444
5. Step 5: Solve for x
   x = 6,895,309,444/52,405
6. Step 6: Final answer
   x = 131,577.32