Finding the Third Proportional to 4,666.50 and 10,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,666.50 : 10,085.25 = 10,085.25 : x
2. Step 2: Convert to fraction form
   4,666.50/10,085.25 = 10,085.25/x
3. Step 3: Cross multiply
   4,666.50x = 10,085.25 × 10,085.25
4. Step 4: Simplify right side
   4,666.50x = 101,712,267.56
5. Step 5: Solve for x
   x = 101,712,267.56/4,666.50
6. Step 6: Final answer
   x = 21,796.26