Finding the Third Proportional to 35,754 and 52,595

Step by Step Solution

1. Step 1: Write the proportion equation
   35,754 : 52,595 = 52,595 : x
2. Step 2: Convert to fraction form
   35,754/52,595 = 52,595/x
3. Step 3: Cross multiply
   35,754x = 52,595 × 52,595
4. Step 4: Simplify right side
   35,754x = 2,766,234,025
5. Step 5: Solve for x
   x = 2,766,234,025/35,754
6. Step 6: Final answer
   x = 77,368.52