Finding the Third Proportional to 35,726 and 52,520

Step by Step Solution

1. Step 1: Write the proportion equation
   35,726 : 52,520 = 52,520 : x
2. Step 2: Convert to fraction form
   35,726/52,520 = 52,520/x
3. Step 3: Cross multiply
   35,726x = 52,520 × 52,520
4. Step 4: Simplify right side
   35,726x = 2,758,350,400
5. Step 5: Solve for x
   x = 2,758,350,400/35,726
6. Step 6: Final answer
   x = 77,208.49