Finding the Third Proportional to 55,200 and 78,032

Step by Step Solution

1. Step 1: Write the proportion equation
   55,200 : 78,032 = 78,032 : x
2. Step 2: Convert to fraction form
   55,200/78,032 = 78,032/x
3. Step 3: Cross multiply
   55,200x = 78,032 × 78,032
4. Step 4: Simplify right side
   55,200x = 6,088,993,024
5. Step 5: Solve for x
   x = 6,088,993,024/55,200
6. Step 6: Final answer
   x = 110,307.84