Finding the Third Proportional to 10,975.50 and 23,738.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975.50 : 23,738.06 = 23,738.06 : x
2. Step 2: Convert to fraction form
   10,975.50/23,738.06 = 23,738.06/x
3. Step 3: Cross multiply
   10,975.50x = 23,738.06 × 23,738.06
4. Step 4: Simplify right side
   10,975.50x = 563,495,611.25
5. Step 5: Solve for x
   x = 563,495,611.25/10,975.50
6. Step 6: Final answer
   x = 51,341.22