Finding the Third Proportional to 10,102.50 and 21,696.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.50 : 21,696.75 = 21,696.75 : x
2. Step 2: Convert to fraction form
   10,102.50/21,696.75 = 21,696.75/x
3. Step 3: Cross multiply
   10,102.50x = 21,696.75 × 21,696.75
4. Step 4: Simplify right side
   10,102.50x = 470,748,960.56
5. Step 5: Solve for x
   x = 470,748,960.56/10,102.50
6. Step 6: Final answer
   x = 46,597.27