Finding the Third Proportional to 13,993 and 21,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,993 : 21,835.50 = 21,835.50 : x
2. Step 2: Convert to fraction form
   13,993/21,835.50 = 21,835.50/x
3. Step 3: Cross multiply
   13,993x = 21,835.50 × 21,835.50
4. Step 4: Simplify right side
   13,993x = 476,789,060.25
5. Step 5: Solve for x
   x = 476,789,060.25/13,993
6. Step 6: Final answer
   x = 34,073.40