Finding the Third Proportional to 33,762 and 52,410

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762 : 52,410 = 52,410 : x
2. Step 2: Convert to fraction form
   33,762/52,410 = 52,410/x
3. Step 3: Cross multiply
   33,762x = 52,410 × 52,410
4. Step 4: Simplify right side
   33,762x = 2,746,808,100
5. Step 5: Solve for x
   x = 2,746,808,100/33,762
6. Step 6: Final answer
   x = 81,357.98