Finding the Third Proportional to 27,791 and 65,563

Step by Step Solution

1. Step 1: Write the proportion equation
   27,791 : 65,563 = 65,563 : x
2. Step 2: Convert to fraction form
   27,791/65,563 = 65,563/x
3. Step 3: Cross multiply
   27,791x = 65,563 × 65,563
4. Step 4: Simplify right side
   27,791x = 4,298,506,969
5. Step 5: Solve for x
   x = 4,298,506,969/27,791
6. Step 6: Final answer
   x = 154,672.63