Finding the Third Proportional to 14,656 and 21,710

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656 : 21,710 = 21,710 : x
2. Step 2: Convert to fraction form
   14,656/21,710 = 21,710/x
3. Step 3: Cross multiply
   14,656x = 21,710 × 21,710
4. Step 4: Simplify right side
   14,656x = 471,324,100
5. Step 5: Solve for x
   x = 471,324,100/14,656
6. Step 6: Final answer
   x = 32,159.12