Finding the Third Proportional to 22,676 and 52,953

Step by Step Solution

1. Step 1: Write the proportion equation
   22,676 : 52,953 = 52,953 : x
2. Step 2: Convert to fraction form
   22,676/52,953 = 52,953/x
3. Step 3: Cross multiply
   22,676x = 52,953 × 52,953
4. Step 4: Simplify right side
   22,676x = 2,804,020,209
5. Step 5: Solve for x
   x = 2,804,020,209/22,676
6. Step 6: Final answer
   x = 123,655.86