Finding the Third Proportional to 10,498.50 and 23,045.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.50 : 23,045.25 = 23,045.25 : x
2. Step 2: Convert to fraction form
   10,498.50/23,045.25 = 23,045.25/x
3. Step 3: Cross multiply
   10,498.50x = 23,045.25 × 23,045.25
4. Step 4: Simplify right side
   10,498.50x = 531,083,547.56
5. Step 5: Solve for x
   x = 531,083,547.56/10,498.50
6. Step 6: Final answer
   x = 50,586.61