Finding the Third Proportional to 13,851 and 21,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851 : 21,502.50 = 21,502.50 : x
2. Step 2: Convert to fraction form
   13,851/21,502.50 = 21,502.50/x
3. Step 3: Cross multiply
   13,851x = 21,502.50 × 21,502.50
4. Step 4: Simplify right side
   13,851x = 462,357,506.25
5. Step 5: Solve for x
   x = 462,357,506.25/13,851
6. Step 6: Final answer
   x = 33,380.80