Finding the Third Proportional to 27,687 and 64,999

Step by Step Solution

1. Step 1: Write the proportion equation
   27,687 : 64,999 = 64,999 : x
2. Step 2: Convert to fraction form
   27,687/64,999 = 64,999/x
3. Step 3: Cross multiply
   27,687x = 64,999 × 64,999
4. Step 4: Simplify right side
   27,687x = 4,224,870,001
5. Step 5: Solve for x
   x = 4,224,870,001/27,687
6. Step 6: Final answer
   x = 152,594.00