Finding the Third Proportional to 14,656 and 32,160

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656 : 32,160 = 32,160 : x
2. Step 2: Convert to fraction form
   14,656/32,160 = 32,160/x
3. Step 3: Cross multiply
   14,656x = 32,160 × 32,160
4. Step 4: Simplify right side
   14,656x = 1,034,265,600
5. Step 5: Solve for x
   x = 1,034,265,600/14,656
6. Step 6: Final answer
   x = 70,569.43