Finding the Third Proportional to 27,613 and 37,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,613 : 37,291.50 = 37,291.50 : x
2. Step 2: Convert to fraction form
   27,613/37,291.50 = 37,291.50/x
3. Step 3: Cross multiply
   27,613x = 37,291.50 × 37,291.50
4. Step 4: Simplify right side
   27,613x = 1,390,655,972.25
5. Step 5: Solve for x
   x = 1,390,655,972.25/27,613
6. Step 6: Final answer
   x = 50,362.36