Finding the Third Proportional to 34,764 and 53,854

Step by Step Solution

1. Step 1: Write the proportion equation
   34,764 : 53,854 = 53,854 : x
2. Step 2: Convert to fraction form
   34,764/53,854 = 53,854/x
3. Step 3: Cross multiply
   34,764x = 53,854 × 53,854
4. Step 4: Simplify right side
   34,764x = 2,900,253,316
5. Step 5: Solve for x
   x = 2,900,253,316/34,764
6. Step 6: Final answer
   x = 83,426.92