Finding the Third Proportional to 10,085 and 23,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085 : 23,552.50 = 23,552.50 : x
2. Step 2: Convert to fraction form
   10,085/23,552.50 = 23,552.50/x
3. Step 3: Cross multiply
   10,085x = 23,552.50 × 23,552.50
4. Step 4: Simplify right side
   10,085x = 554,720,256.25
5. Step 5: Solve for x
   x = 554,720,256.25/10,085
6. Step 6: Final answer
   x = 55,004.49