Finding the Third Proportional to 21,164 and 45,892

Step by Step Solution

1. Step 1: Write the proportion equation
   21,164 : 45,892 = 45,892 : x
2. Step 2: Convert to fraction form
   21,164/45,892 = 45,892/x
3. Step 3: Cross multiply
   21,164x = 45,892 × 45,892
4. Step 4: Simplify right side
   21,164x = 2,106,075,664
5. Step 5: Solve for x
   x = 2,106,075,664/21,164
6. Step 6: Final answer
   x = 99,512.17