Finding the Third Proportional to 27,758.25 and 42,329.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,758.25 : 42,329.25 = 42,329.25 : x
2. Step 2: Convert to fraction form
   27,758.25/42,329.25 = 42,329.25/x
3. Step 3: Cross multiply
   27,758.25x = 42,329.25 × 42,329.25
4. Step 4: Simplify right side
   27,758.25x = 1,791,765,405.56
5. Step 5: Solve for x
   x = 1,791,765,405.56/27,758.25
6. Step 6: Final answer
   x = 64,548.93