Finding the Third Proportional to 27,390 and 42,294

Step by Step Solution

1. Step 1: Write the proportion equation
   27,390 : 42,294 = 42,294 : x
2. Step 2: Convert to fraction form
   27,390/42,294 = 42,294/x
3. Step 3: Cross multiply
   27,390x = 42,294 × 42,294
4. Step 4: Simplify right side
   27,390x = 1,788,782,436
5. Step 5: Solve for x
   x = 1,788,782,436/27,390
6. Step 6: Final answer
   x = 65,307.87