Finding the Third Proportional to 23,029.50 and 34,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,029.50 : 34,402.50 = 34,402.50 : x
2. Step 2: Convert to fraction form
   23,029.50/34,402.50 = 34,402.50/x
3. Step 3: Cross multiply
   23,029.50x = 34,402.50 × 34,402.50
4. Step 4: Simplify right side
   23,029.50x = 1,183,532,006.25
5. Step 5: Solve for x
   x = 1,183,532,006.25/23,029.50
6. Step 6: Final answer
   x = 51,392.00