Finding the Third Proportional to 35,752 and 55,668

Step by Step Solution

1. Step 1: Write the proportion equation
   35,752 : 55,668 = 55,668 : x
2. Step 2: Convert to fraction form
   35,752/55,668 = 55,668/x
3. Step 3: Cross multiply
   35,752x = 55,668 × 55,668
4. Step 4: Simplify right side
   35,752x = 3,098,926,224
5. Step 5: Solve for x
   x = 3,098,926,224/35,752
6. Step 6: Final answer
   x = 86,678.40