Finding the Third Proportional to 7,642.69 and 15,870.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.69 : 15,870.09 = 15,870.09 : x
2. Step 2: Convert to fraction form
   7,642.69/15,870.09 = 15,870.09/x
3. Step 3: Cross multiply
   7,642.69x = 15,870.09 × 15,870.09
4. Step 4: Simplify right side
   7,642.69x = 251,859,875.63
5. Step 5: Solve for x
   x = 251,859,875.63/7,642.69
6. Step 6: Final answer
   x = 32,954.36