Finding the Third Proportional to 23,692 and 52,156

Step by Step Solution

1. Step 1: Write the proportion equation
   23,692 : 52,156 = 52,156 : x
2. Step 2: Convert to fraction form
   23,692/52,156 = 52,156/x
3. Step 3: Cross multiply
   23,692x = 52,156 × 52,156
4. Step 4: Simplify right side
   23,692x = 2,720,248,336
5. Step 5: Solve for x
   x = 2,720,248,336/23,692
6. Step 6: Final answer
   x = 114,817.17