Finding the Third Proportional to 10,770 and 23,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,770 : 23,095.50 = 23,095.50 : x
2. Step 2: Convert to fraction form
   10,770/23,095.50 = 23,095.50/x
3. Step 3: Cross multiply
   10,770x = 23,095.50 × 23,095.50
4. Step 4: Simplify right side
   10,770x = 533,402,120.25
5. Step 5: Solve for x
   x = 533,402,120.25/10,770
6. Step 6: Final answer
   x = 49,526.66