Finding the Third Proportional to 38,657 and 55,132

Step by Step Solution

1. Step 1: Write the proportion equation
   38,657 : 55,132 = 55,132 : x
2. Step 2: Convert to fraction form
   38,657/55,132 = 55,132/x
3. Step 3: Cross multiply
   38,657x = 55,132 × 55,132
4. Step 4: Simplify right side
   38,657x = 3,039,537,424
5. Step 5: Solve for x
   x = 3,039,537,424/38,657
6. Step 6: Final answer
   x = 78,628.38