Finding the Third Proportional to 25,543 and 34,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,543 : 34,090.50 = 34,090.50 : x
2. Step 2: Convert to fraction form
   25,543/34,090.50 = 34,090.50/x
3. Step 3: Cross multiply
   25,543x = 34,090.50 × 34,090.50
4. Step 4: Simplify right side
   25,543x = 1,162,162,190.25
5. Step 5: Solve for x
   x = 1,162,162,190.25/25,543
6. Step 6: Final answer
   x = 45,498.27