Finding the Third Proportional to 53,410 and 76,326

Step by Step Solution

1. Step 1: Write the proportion equation
   53,410 : 76,326 = 76,326 : x
2. Step 2: Convert to fraction form
   53,410/76,326 = 76,326/x
3. Step 3: Cross multiply
   53,410x = 76,326 × 76,326
4. Step 4: Simplify right side
   53,410x = 5,825,658,276
5. Step 5: Solve for x
   x = 5,825,658,276/53,410
6. Step 6: Final answer
   x = 109,074.30