Finding the Third Proportional to 34,776 and 52,326

Step by Step Solution

1. Step 1: Write the proportion equation
   34,776 : 52,326 = 52,326 : x
2. Step 2: Convert to fraction form
   34,776/52,326 = 52,326/x
3. Step 3: Cross multiply
   34,776x = 52,326 × 52,326
4. Step 4: Simplify right side
   34,776x = 2,738,010,276
5. Step 5: Solve for x
   x = 2,738,010,276/34,776
6. Step 6: Final answer
   x = 78,732.75