Finding the Third Proportional to 13,693.25 and 19,567.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,693.25 : 19,567.75 = 19,567.75 : x
2. Step 2: Convert to fraction form
   13,693.25/19,567.75 = 19,567.75/x
3. Step 3: Cross multiply
   13,693.25x = 19,567.75 × 19,567.75
4. Step 4: Simplify right side
   13,693.25x = 382,896,840.06
5. Step 5: Solve for x
   x = 382,896,840.06/13,693.25
6. Step 6: Final answer
   x = 27,962.45