Finding the Third Proportional to 13,438 and 21,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,438 : 21,574.50 = 21,574.50 : x
2. Step 2: Convert to fraction form
   13,438/21,574.50 = 21,574.50/x
3. Step 3: Cross multiply
   13,438x = 21,574.50 × 21,574.50
4. Step 4: Simplify right side
   13,438x = 465,459,050.25
5. Step 5: Solve for x
   x = 465,459,050.25/13,438
6. Step 6: Final answer
   x = 34,637.52