Finding the Third Proportional to 21,776 and 34,527

Step by Step Solution

1. Step 1: Write the proportion equation
   21,776 : 34,527 = 34,527 : x
2. Step 2: Convert to fraction form
   21,776/34,527 = 34,527/x
3. Step 3: Cross multiply
   21,776x = 34,527 × 34,527
4. Step 4: Simplify right side
   21,776x = 1,192,113,729
5. Step 5: Solve for x
   x = 1,192,113,729/21,776
6. Step 6: Final answer
   x = 54,744.39