Finding the Third Proportional to 4,657.50 and 10,094.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,657.50 : 10,094.63 = 10,094.63 : x
2. Step 2: Convert to fraction form
   4,657.50/10,094.63 = 10,094.63/x
3. Step 3: Cross multiply
   4,657.50x = 10,094.63 × 10,094.63
4. Step 4: Simplify right side
   4,657.50x = 101,901,453.89
5. Step 5: Solve for x
   x = 101,901,453.89/4,657.50
6. Step 6: Final answer
   x = 21,879.00