Finding the Third Proportional to 27,654 and 42,409

Step by Step Solution

1. Step 1: Write the proportion equation
   27,654 : 42,409 = 42,409 : x
2. Step 2: Convert to fraction form
   27,654/42,409 = 42,409/x
3. Step 3: Cross multiply
   27,654x = 42,409 × 42,409
4. Step 4: Simplify right side
   27,654x = 1,798,523,281
5. Step 5: Solve for x
   x = 1,798,523,281/27,654
6. Step 6: Final answer
   x = 65,036.64