Finding the Third Proportional to 38,004 and 58,464

Step by Step Solution

1. Step 1: Write the proportion equation
   38,004 : 58,464 = 58,464 : x
2. Step 2: Convert to fraction form
   38,004/58,464 = 58,464/x
3. Step 3: Cross multiply
   38,004x = 58,464 × 58,464
4. Step 4: Simplify right side
   38,004x = 3,418,039,296
5. Step 5: Solve for x
   x = 3,418,039,296/38,004
6. Step 6: Final answer
   x = 89,938.94