Finding the Third Proportional to 38,064 and 55,938

Step by Step Solution

1. Step 1: Write the proportion equation
   38,064 : 55,938 = 55,938 : x
2. Step 2: Convert to fraction form
   38,064/55,938 = 55,938/x
3. Step 3: Cross multiply
   38,064x = 55,938 × 55,938
4. Step 4: Simplify right side
   38,064x = 3,129,059,844
5. Step 5: Solve for x
   x = 3,129,059,844/38,064
6. Step 6: Final answer
   x = 82,205.23