Finding the Third Proportional to 27,774 and 40,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,774 : 40,675.50 = 40,675.50 : x
2. Step 2: Convert to fraction form
   27,774/40,675.50 = 40,675.50/x
3. Step 3: Cross multiply
   27,774x = 40,675.50 × 40,675.50
4. Step 4: Simplify right side
   27,774x = 1,654,496,300.25
5. Step 5: Solve for x
   x = 1,654,496,300.25/27,774
6. Step 6: Final answer
   x = 59,569.97