Finding the Third Proportional to 27,688 and 41,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,688 : 41,523.50 = 41,523.50 : x
2. Step 2: Convert to fraction form
   27,688/41,523.50 = 41,523.50/x
3. Step 3: Cross multiply
   27,688x = 41,523.50 × 41,523.50
4. Step 4: Simplify right side
   27,688x = 1,724,201,052.25
5. Step 5: Solve for x
   x = 1,724,201,052.25/27,688
6. Step 6: Final answer
   x = 62,272.50