Finding the Third Proportional to 10,194 and 24,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194 : 24,547.50 = 24,547.50 : x
2. Step 2: Convert to fraction form
   10,194/24,547.50 = 24,547.50/x
3. Step 3: Cross multiply
   10,194x = 24,547.50 × 24,547.50
4. Step 4: Simplify right side
   10,194x = 602,579,756.25
5. Step 5: Solve for x
   x = 602,579,756.25/10,194
6. Step 6: Final answer
   x = 59,111.22