Finding the Third Proportional to 20,156 and 32,563

Step by Step Solution

1. Step 1: Write the proportion equation
   20,156 : 32,563 = 32,563 : x
2. Step 2: Convert to fraction form
   20,156/32,563 = 32,563/x
3. Step 3: Cross multiply
   20,156x = 32,563 × 32,563
4. Step 4: Simplify right side
   20,156x = 1,060,348,969
5. Step 5: Solve for x
   x = 1,060,348,969/20,156
6. Step 6: Final answer
   x = 52,607.11