Finding the Third Proportional to 37,643 and 55,129

Step by Step Solution

1. Step 1: Write the proportion equation
   37,643 : 55,129 = 55,129 : x
2. Step 2: Convert to fraction form
   37,643/55,129 = 55,129/x
3. Step 3: Cross multiply
   37,643x = 55,129 × 55,129
4. Step 4: Simplify right side
   37,643x = 3,039,206,641
5. Step 5: Solve for x
   x = 3,039,206,641/37,643
6. Step 6: Final answer
   x = 80,737.63