Finding the Third Proportional to 17,680,896 and 27,302,400

Step by Step Solution

1. Step 1: Write the proportion equation
   17,680,896 : 27,302,400 = 27,302,400 : x
2. Step 2: Convert to fraction form
   17,680,896/27,302,400 = 27,302,400/x
3. Step 3: Cross multiply
   17,680,896x = 27,302,400 × 27,302,400
4. Step 4: Simplify right side
   17,680,896x = 745,421,045,760,000
5. Step 5: Solve for x
   x = 745,421,045,760,000/17,680,896
6. Step 6: Final answer
   x = 42,159,687.26