Finding the Third Proportional to 10,765.41 and 23,088.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,765.41 : 23,088.16 = 23,088.16 : x
2. Step 2: Convert to fraction form
   10,765.41/23,088.16 = 23,088.16/x
3. Step 3: Cross multiply
   10,765.41x = 23,088.16 × 23,088.16
4. Step 4: Simplify right side
   10,765.41x = 533,063,319.78
5. Step 5: Solve for x
   x = 533,063,319.78/10,765.41
6. Step 6: Final answer
   x = 49,516.32