Finding the Third Proportional to 27,834.75 and 42,671.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,834.75 : 42,671.25 = 42,671.25 : x
2. Step 2: Convert to fraction form
   27,834.75/42,671.25 = 42,671.25/x
3. Step 3: Cross multiply
   27,834.75x = 42,671.25 × 42,671.25
4. Step 4: Simplify right side
   27,834.75x = 1,820,835,576.56
5. Step 5: Solve for x
   x = 1,820,835,576.56/27,834.75
6. Step 6: Final answer
   x = 65,415.91