Finding the Third Proportional to 10,077.86 and 22,166.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.86 : 22,166.16 = 22,166.16 : x
2. Step 2: Convert to fraction form
   10,077.86/22,166.16 = 22,166.16/x
3. Step 3: Cross multiply
   10,077.86x = 22,166.16 × 22,166.16
4. Step 4: Simplify right side
   10,077.86x = 491,338,482.90
5. Step 5: Solve for x
   x = 491,338,482.90/10,077.86
6. Step 6: Final answer
   x = 48,754.27