Finding the Third Proportional to 52,698.94 and 77,652.56

Step by Step Solution

1. Step 1: Write the proportion equation
   52,698.94 : 77,652.56 = 77,652.56 : x
2. Step 2: Convert to fraction form
   52,698.94/77,652.56 = 77,652.56/x
3. Step 3: Cross multiply
   52,698.94x = 77,652.56 × 77,652.56
4. Step 4: Simplify right side
   52,698.94x = 6,029,920,462.82
5. Step 5: Solve for x
   x = 6,029,920,462.82/52,698.94
6. Step 6: Final answer
   x = 114,422.05