Finding the Third Proportional to 13,768.50 and 21,882.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768.50 : 21,882.94 = 21,882.94 : x
2. Step 2: Convert to fraction form
   13,768.50/21,882.94 = 21,882.94/x
3. Step 3: Cross multiply
   13,768.50x = 21,882.94 × 21,882.94
4. Step 4: Simplify right side
   13,768.50x = 478,862,953.63
5. Step 5: Solve for x
   x = 478,862,953.63/13,768.50
6. Step 6: Final answer
   x = 34,779.60