Finding the Third Proportional to 27,816 and 65,148

Step by Step Solution

1. Step 1: Write the proportion equation
   27,816 : 65,148 = 65,148 : x
2. Step 2: Convert to fraction form
   27,816/65,148 = 65,148/x
3. Step 3: Cross multiply
   27,816x = 65,148 × 65,148
4. Step 4: Simplify right side
   27,816x = 4,244,261,904
5. Step 5: Solve for x
   x = 4,244,261,904/27,816
6. Step 6: Final answer
   x = 152,583.47