Finding the Third Proportional to 4,972.50 and 10,823.91

Step by Step Solution

1. Step 1: Write the proportion equation
   4,972.50 : 10,823.91 = 10,823.91 : x
2. Step 2: Convert to fraction form
   4,972.50/10,823.91 = 10,823.91/x
3. Step 3: Cross multiply
   4,972.50x = 10,823.91 × 10,823.91
4. Step 4: Simplify right side
   4,972.50x = 117,156,946.51
5. Step 5: Solve for x
   x = 117,156,946.51/4,972.50
6. Step 6: Final answer
   x = 23,560.97