Finding the Third Proportional to 10,155 and 15,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155 : 15,916.50 = 15,916.50 : x
2. Step 2: Convert to fraction form
   10,155/15,916.50 = 15,916.50/x
3. Step 3: Cross multiply
   10,155x = 15,916.50 × 15,916.50
4. Step 4: Simplify right side
   10,155x = 253,334,972.25
5. Step 5: Solve for x
   x = 253,334,972.25/10,155
6. Step 6: Final answer
   x = 24,946.82