Finding the Third Proportional to 13,875 and 21,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,875 : 21,349.50 = 21,349.50 : x
2. Step 2: Convert to fraction form
   13,875/21,349.50 = 21,349.50/x
3. Step 3: Cross multiply
   13,875x = 21,349.50 × 21,349.50
4. Step 4: Simplify right side
   13,875x = 455,801,150.25
5. Step 5: Solve for x
   x = 455,801,150.25/13,875
6. Step 6: Final answer
   x = 32,850.53