Finding the Third Proportional to 38,365 and 58,349

Step by Step Solution

1. Step 1: Write the proportion equation
   38,365 : 58,349 = 58,349 : x
2. Step 2: Convert to fraction form
   38,365/58,349 = 58,349/x
3. Step 3: Cross multiply
   38,365x = 58,349 × 58,349
4. Step 4: Simplify right side
   38,365x = 3,404,605,801
5. Step 5: Solve for x
   x = 3,404,605,801/38,365
6. Step 6: Final answer
   x = 88,742.49