Finding the Third Proportional to 15,786 and 34,541.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,786 : 34,541.25 = 34,541.25 : x
2. Step 2: Convert to fraction form
   15,786/34,541.25 = 34,541.25/x
3. Step 3: Cross multiply
   15,786x = 34,541.25 × 34,541.25
4. Step 4: Simplify right side
   15,786x = 1,193,097,951.56
5. Step 5: Solve for x
   x = 1,193,097,951.56/15,786
6. Step 6: Final answer
   x = 75,579.50