Finding the Third Proportional to 21,738 and 34,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,738 : 34,552.50 = 34,552.50 : x
2. Step 2: Convert to fraction form
   21,738/34,552.50 = 34,552.50/x
3. Step 3: Cross multiply
   21,738x = 34,552.50 × 34,552.50
4. Step 4: Simplify right side
   21,738x = 1,193,875,256.25
5. Step 5: Solve for x
   x = 1,193,875,256.25/21,738
6. Step 6: Final answer
   x = 54,921.12