Finding the Third Proportional to 37,440 and 58,464

Step by Step Solution

1. Step 1: Write the proportion equation
   37,440 : 58,464 = 58,464 : x
2. Step 2: Convert to fraction form
   37,440/58,464 = 58,464/x
3. Step 3: Cross multiply
   37,440x = 58,464 × 58,464
4. Step 4: Simplify right side
   37,440x = 3,418,039,296
5. Step 5: Solve for x
   x = 3,418,039,296/37,440
6. Step 6: Final answer
   x = 91,293.78