Finding the Third Proportional to 12,127.50 and 21,669.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,127.50 : 21,669.75 = 21,669.75 : x
2. Step 2: Convert to fraction form
   12,127.50/21,669.75 = 21,669.75/x
3. Step 3: Cross multiply
   12,127.50x = 21,669.75 × 21,669.75
4. Step 4: Simplify right side
   12,127.50x = 469,578,065.06
5. Step 5: Solve for x
   x = 469,578,065.06/12,127.50
6. Step 6: Final answer
   x = 38,720.10