Finding the Third Proportional to 27,853 and 41,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,853 : 41,437.50 = 41,437.50 : x
2. Step 2: Convert to fraction form
   27,853/41,437.50 = 41,437.50/x
3. Step 3: Cross multiply
   27,853x = 41,437.50 × 41,437.50
4. Step 4: Simplify right side
   27,853x = 1,717,066,406.25
5. Step 5: Solve for x
   x = 1,717,066,406.25/27,853
6. Step 6: Final answer
   x = 61,647.45