Finding the Third Proportional to 27,462 and 41,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,462 : 41,098.50 = 41,098.50 : x
2. Step 2: Convert to fraction form
   27,462/41,098.50 = 41,098.50/x
3. Step 3: Cross multiply
   27,462x = 41,098.50 × 41,098.50
4. Step 4: Simplify right side
   27,462x = 1,689,086,702.25
5. Step 5: Solve for x
   x = 1,689,086,702.25/27,462
6. Step 6: Final answer
   x = 61,506.33