Finding the Third Proportional to 55,782.84 and 82,598.06

Step by Step Solution

1. Step 1: Write the proportion equation
   55,782.84 : 82,598.06 = 82,598.06 : x
2. Step 2: Convert to fraction form
   55,782.84/82,598.06 = 82,598.06/x
3. Step 3: Cross multiply
   55,782.84x = 82,598.06 × 82,598.06
4. Step 4: Simplify right side
   55,782.84x = 6,822,439,928.75
5. Step 5: Solve for x
   x = 6,822,439,928.75/55,782.84
6. Step 6: Final answer
   x = 122,303.55