Finding the Third Proportional to 35,730 and 52,562

Step by Step Solution

1. Step 1: Write the proportion equation
   35,730 : 52,562 = 52,562 : x
2. Step 2: Convert to fraction form
   35,730/52,562 = 52,562/x
3. Step 3: Cross multiply
   35,730x = 52,562 × 52,562
4. Step 4: Simplify right side
   35,730x = 2,762,763,844
5. Step 5: Solve for x
   x = 2,762,763,844/35,730
6. Step 6: Final answer
   x = 77,323.37