Finding the Third Proportional to 27,209 and 42,043

Step by Step Solution

1. Step 1: Write the proportion equation
   27,209 : 42,043 = 42,043 : x
2. Step 2: Convert to fraction form
   27,209/42,043 = 42,043/x
3. Step 3: Cross multiply
   27,209x = 42,043 × 42,043
4. Step 4: Simplify right side
   27,209x = 1,767,613,849
5. Step 5: Solve for x
   x = 1,767,613,849/27,209
6. Step 6: Final answer
   x = 64,964.31