Finding the Third Proportional to 37,472 and 86,752

Step by Step Solution

1. Step 1: Write the proportion equation
   37,472 : 86,752 = 86,752 : x
2. Step 2: Convert to fraction form
   37,472/86,752 = 86,752/x
3. Step 3: Cross multiply
   37,472x = 86,752 × 86,752
4. Step 4: Simplify right side
   37,472x = 7,525,909,504
5. Step 5: Solve for x
   x = 7,525,909,504/37,472
6. Step 6: Final answer
   x = 200,840.88