Finding the Third Proportional to 27,788 and 64,274

Step by Step Solution

1. Step 1: Write the proportion equation
   27,788 : 64,274 = 64,274 : x
2. Step 2: Convert to fraction form
   27,788/64,274 = 64,274/x
3. Step 3: Cross multiply
   27,788x = 64,274 × 64,274
4. Step 4: Simplify right side
   27,788x = 4,131,147,076
5. Step 5: Solve for x
   x = 4,131,147,076/27,788
6. Step 6: Final answer
   x = 148,666.59