Finding the Third Proportional to 52,408.50 and 83,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,408.50 : 83,042.50 = 83,042.50 : x
2. Step 2: Convert to fraction form
   52,408.50/83,042.50 = 83,042.50/x
3. Step 3: Cross multiply
   52,408.50x = 83,042.50 × 83,042.50
4. Step 4: Simplify right side
   52,408.50x = 6,896,056,806.25
5. Step 5: Solve for x
   x = 6,896,056,806.25/52,408.50
6. Step 6: Final answer
   x = 131,582.79