Finding the Third Proportional to 10,527 and 22,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,527 : 22,741.50 = 22,741.50 : x
2. Step 2: Convert to fraction form
   10,527/22,741.50 = 22,741.50/x
3. Step 3: Cross multiply
   10,527x = 22,741.50 × 22,741.50
4. Step 4: Simplify right side
   10,527x = 517,175,822.25
5. Step 5: Solve for x
   x = 517,175,822.25/10,527
6. Step 6: Final answer
   x = 49,128.51