Finding the Third Proportional to 17,664 and 37,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 37,393.50 = 37,393.50 : x
2. Step 2: Convert to fraction form
   17,664/37,393.50 = 37,393.50/x
3. Step 3: Cross multiply
   17,664x = 37,393.50 × 37,393.50
4. Step 4: Simplify right side
   17,664x = 1,398,273,842.25
5. Step 5: Solve for x
   x = 1,398,273,842.25/17,664
6. Step 6: Final answer
   x = 79,159.52