Finding the Third Proportional to 21,934 and 34,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,934 : 34,024.50 = 34,024.50 : x
2. Step 2: Convert to fraction form
   21,934/34,024.50 = 34,024.50/x
3. Step 3: Cross multiply
   21,934x = 34,024.50 × 34,024.50
4. Step 4: Simplify right side
   21,934x = 1,157,666,600.25
5. Step 5: Solve for x
   x = 1,157,666,600.25/21,934
6. Step 6: Final answer
   x = 52,779.55