Finding the Third Proportional to 27,645 and 42,693

Step by Step Solution

1. Step 1: Write the proportion equation
   27,645 : 42,693 = 42,693 : x
2. Step 2: Convert to fraction form
   27,645/42,693 = 42,693/x
3. Step 3: Cross multiply
   27,645x = 42,693 × 42,693
4. Step 4: Simplify right side
   27,645x = 1,822,692,249
5. Step 5: Solve for x
   x = 1,822,692,249/27,645
6. Step 6: Final answer
   x = 65,932.08