Finding the Third Proportional to 35,720 and 52,850

Step by Step Solution

1. Step 1: Write the proportion equation
   35,720 : 52,850 = 52,850 : x
2. Step 2: Convert to fraction form
   35,720/52,850 = 52,850/x
3. Step 3: Cross multiply
   35,720x = 52,850 × 52,850
4. Step 4: Simplify right side
   35,720x = 2,793,122,500
5. Step 5: Solve for x
   x = 2,793,122,500/35,720
6. Step 6: Final answer
   x = 78,194.92