Finding the Third Proportional to 17,664 and 37,312

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 37,312 = 37,312 : x
2. Step 2: Convert to fraction form
   17,664/37,312 = 37,312/x
3. Step 3: Cross multiply
   17,664x = 37,312 × 37,312
4. Step 4: Simplify right side
   17,664x = 1,392,185,344
5. Step 5: Solve for x
   x = 1,392,185,344/17,664
6. Step 6: Final answer
   x = 78,814.84