Finding the Third Proportional to 34,002 and 55,374.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,002 : 55,374.75 = 55,374.75 : x
2. Step 2: Convert to fraction form
   34,002/55,374.75 = 55,374.75/x
3. Step 3: Cross multiply
   34,002x = 55,374.75 × 55,374.75
4. Step 4: Simplify right side
   34,002x = 3,066,362,937.56
5. Step 5: Solve for x
   x = 3,066,362,937.56/34,002
6. Step 6: Final answer
   x = 90,181.84