Finding the Third Proportional to 27,294 and 42,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,294 : 42,286.50 = 42,286.50 : x
2. Step 2: Convert to fraction form
   27,294/42,286.50 = 42,286.50/x
3. Step 3: Cross multiply
   27,294x = 42,286.50 × 42,286.50
4. Step 4: Simplify right side
   27,294x = 1,788,148,082.25
5. Step 5: Solve for x
   x = 1,788,148,082.25/27,294
6. Step 6: Final answer
   x = 65,514.33