Finding the Third Proportional to 10,914.75 and 14,657.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,914.75 : 14,657.63 = 14,657.63 : x
2. Step 2: Convert to fraction form
   10,914.75/14,657.63 = 14,657.63/x
3. Step 3: Cross multiply
   10,914.75x = 14,657.63 × 14,657.63
4. Step 4: Simplify right side
   10,914.75x = 214,845,970.64
5. Step 5: Solve for x
   x = 214,845,970.64/10,914.75
6. Step 6: Final answer
   x = 19,684.00