Finding the Third Proportional to 38,338 and 58,199

Step by Step Solution

1. Step 1: Write the proportion equation
   38,338 : 58,199 = 58,199 : x
2. Step 2: Convert to fraction form
   38,338/58,199 = 58,199/x
3. Step 3: Cross multiply
   38,338x = 58,199 × 58,199
4. Step 4: Simplify right side
   38,338x = 3,387,123,601
5. Step 5: Solve for x
   x = 3,387,123,601/38,338
6. Step 6: Final answer
   x = 88,348.99