Finding the Third Proportional to 12,381.75 and 21,877.31

Step by Step Solution

1. Step 1: Write the proportion equation
   12,381.75 : 21,877.31 = 21,877.31 : x
2. Step 2: Convert to fraction form
   12,381.75/21,877.31 = 21,877.31/x
3. Step 3: Cross multiply
   12,381.75x = 21,877.31 × 21,877.31
4. Step 4: Simplify right side
   12,381.75x = 478,616,802.22
5. Step 5: Solve for x
   x = 478,616,802.22/12,381.75
6. Step 6: Final answer
   x = 38,655.02