Finding the Third Proportional to 27,456 and 64,158

Step by Step Solution

1. Step 1: Write the proportion equation
   27,456 : 64,158 = 64,158 : x
2. Step 2: Convert to fraction form
   27,456/64,158 = 64,158/x
3. Step 3: Cross multiply
   27,456x = 64,158 × 64,158
4. Step 4: Simplify right side
   27,456x = 4,116,248,964
5. Step 5: Solve for x
   x = 4,116,248,964/27,456
6. Step 6: Final answer
   x = 149,921.66