Finding the Third Proportional to 13,769.50 and 21,887.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,769.50 : 21,887.63 = 21,887.63 : x
2. Step 2: Convert to fraction form
   13,769.50/21,887.63 = 21,887.63/x
3. Step 3: Cross multiply
   13,769.50x = 21,887.63 × 21,887.63
4. Step 4: Simplify right side
   13,769.50x = 479,068,128.14
5. Step 5: Solve for x
   x = 479,068,128.14/13,769.50
6. Step 6: Final answer
   x = 34,791.98