Finding the Third Proportional to 34,083 and 52,764

Step by Step Solution

1. Step 1: Write the proportion equation
   34,083 : 52,764 = 52,764 : x
2. Step 2: Convert to fraction form
   34,083/52,764 = 52,764/x
3. Step 3: Cross multiply
   34,083x = 52,764 × 52,764
4. Step 4: Simplify right side
   34,083x = 2,784,039,696
5. Step 5: Solve for x
   x = 2,784,039,696/34,083
6. Step 6: Final answer
   x = 81,684.12