Finding the Third Proportional to 21,760 and 32,558

Step by Step Solution

1. Step 1: Write the proportion equation
   21,760 : 32,558 = 32,558 : x
2. Step 2: Convert to fraction form
   21,760/32,558 = 32,558/x
3. Step 3: Cross multiply
   21,760x = 32,558 × 32,558
4. Step 4: Simplify right side
   21,760x = 1,060,023,364
5. Step 5: Solve for x
   x = 1,060,023,364/21,760
6. Step 6: Final answer
   x = 48,714.31