Finding the Third Proportional to 52,796.25 and 77,722.88

Step by Step Solution

1. Step 1: Write the proportion equation
   52,796.25 : 77,722.88 = 77,722.88 : x
2. Step 2: Convert to fraction form
   52,796.25/77,722.88 = 77,722.88/x
3. Step 3: Cross multiply
   52,796.25x = 77,722.88 × 77,722.88
4. Step 4: Simplify right side
   52,796.25x = 6,040,845,298.27
5. Step 5: Solve for x
   x = 6,040,845,298.27/52,796.25
6. Step 6: Final answer
   x = 114,418.08