Finding the Third Proportional to 13,623.50 and 21,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,623.50 : 21,407.50 = 21,407.50 : x
2. Step 2: Convert to fraction form
   13,623.50/21,407.50 = 21,407.50/x
3. Step 3: Cross multiply
   13,623.50x = 21,407.50 × 21,407.50
4. Step 4: Simplify right side
   13,623.50x = 458,281,056.25
5. Step 5: Solve for x
   x = 458,281,056.25/13,623.50
6. Step 6: Final answer
   x = 33,639.01