Finding the Third Proportional to 17,745.50 and 38,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,745.50 : 38,946.50 = 38,946.50 : x
2. Step 2: Convert to fraction form
   17,745.50/38,946.50 = 38,946.50/x
3. Step 3: Cross multiply
   17,745.50x = 38,946.50 × 38,946.50
4. Step 4: Simplify right side
   17,745.50x = 1,516,829,862.25
5. Step 5: Solve for x
   x = 1,516,829,862.25/17,745.50
6. Step 6: Final answer
   x = 85,476.87