Finding the Third Proportional to 35,758 and 52,602

Step by Step Solution

1. Step 1: Write the proportion equation
   35,758 : 52,602 = 52,602 : x
2. Step 2: Convert to fraction form
   35,758/52,602 = 52,602/x
3. Step 3: Cross multiply
   35,758x = 52,602 × 52,602
4. Step 4: Simplify right side
   35,758x = 2,766,970,404
5. Step 5: Solve for x
   x = 2,766,970,404/35,758
6. Step 6: Final answer
   x = 77,380.46