Finding the Third Proportional to 27,822 and 41,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,822 : 41,971.50 = 41,971.50 : x
2. Step 2: Convert to fraction form
   27,822/41,971.50 = 41,971.50/x
3. Step 3: Cross multiply
   27,822x = 41,971.50 × 41,971.50
4. Step 4: Simplify right side
   27,822x = 1,761,606,812.25
5. Step 5: Solve for x
   x = 1,761,606,812.25/27,822
6. Step 6: Final answer
   x = 63,317.04