Finding the Third Proportional to 25,941 and 37,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,941 : 37,534.50 = 37,534.50 : x
2. Step 2: Convert to fraction form
   25,941/37,534.50 = 37,534.50/x
3. Step 3: Cross multiply
   25,941x = 37,534.50 × 37,534.50
4. Step 4: Simplify right side
   25,941x = 1,408,838,690.25
5. Step 5: Solve for x
   x = 1,408,838,690.25/25,941
6. Step 6: Final answer
   x = 54,309.34