Finding the Third Proportional to 35,462 and 52,492

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462 : 52,492 = 52,492 : x
2. Step 2: Convert to fraction form
   35,462/52,492 = 52,492/x
3. Step 3: Cross multiply
   35,462x = 52,492 × 52,492
4. Step 4: Simplify right side
   35,462x = 2,755,410,064
5. Step 5: Solve for x
   x = 2,755,410,064/35,462
6. Step 6: Final answer
   x = 77,700.36