Finding the Third Proportional to 13,848 and 32,688

Step by Step Solution

1. Step 1: Write the proportion equation
   13,848 : 32,688 = 32,688 : x
2. Step 2: Convert to fraction form
   13,848/32,688 = 32,688/x
3. Step 3: Cross multiply
   13,848x = 32,688 × 32,688
4. Step 4: Simplify right side
   13,848x = 1,068,505,344
5. Step 5: Solve for x
   x = 1,068,505,344/13,848
6. Step 6: Final answer
   x = 77,159.54