Finding the Third Proportional to 38,656 and 55,130

Step by Step Solution

1. Step 1: Write the proportion equation
   38,656 : 55,130 = 55,130 : x
2. Step 2: Convert to fraction form
   38,656/55,130 = 55,130/x
3. Step 3: Cross multiply
   38,656x = 55,130 × 55,130
4. Step 4: Simplify right side
   38,656x = 3,039,316,900
5. Step 5: Solve for x
   x = 3,039,316,900/38,656
6. Step 6: Final answer
   x = 78,624.71