Finding the Third Proportional to 35,408 and 52,300

Step by Step Solution

1. Step 1: Write the proportion equation
   35,408 : 52,300 = 52,300 : x
2. Step 2: Convert to fraction form
   35,408/52,300 = 52,300/x
3. Step 3: Cross multiply
   35,408x = 52,300 × 52,300
4. Step 4: Simplify right side
   35,408x = 2,735,290,000
5. Step 5: Solve for x
   x = 2,735,290,000/35,408
6. Step 6: Final answer
   x = 77,250.62