Finding the Third Proportional to 10,526 and 23,032

Step by Step Solution

1. Step 1: Write the proportion equation
   10,526 : 23,032 = 23,032 : x
2. Step 2: Convert to fraction form
   10,526/23,032 = 23,032/x
3. Step 3: Cross multiply
   10,526x = 23,032 × 23,032
4. Step 4: Simplify right side
   10,526x = 530,473,024
5. Step 5: Solve for x
   x = 530,473,024/10,526
6. Step 6: Final answer
   x = 50,396.45