Finding the Third Proportional to 3,592.50 and 7,883.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,592.50 : 7,883.63 = 7,883.63 : x
2. Step 2: Convert to fraction form
   3,592.50/7,883.63 = 7,883.63/x
3. Step 3: Cross multiply
   3,592.50x = 7,883.63 × 7,883.63
4. Step 4: Simplify right side
   3,592.50x = 62,151,543.14
5. Step 5: Solve for x
   x = 62,151,543.14/3,592.50
6. Step 6: Final answer
   x = 17,300.36