Finding the Third Proportional to 23,598 and 35,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,598 : 35,077.50 = 35,077.50 : x
2. Step 2: Convert to fraction form
   23,598/35,077.50 = 35,077.50/x
3. Step 3: Cross multiply
   23,598x = 35,077.50 × 35,077.50
4. Step 4: Simplify right side
   23,598x = 1,230,431,006.25
5. Step 5: Solve for x
   x = 1,230,431,006.25/23,598
6. Step 6: Final answer
   x = 52,141.33