Finding the Third Proportional to 51,543 and 75,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,543 : 75,127.50 = 75,127.50 : x
2. Step 2: Convert to fraction form
   51,543/75,127.50 = 75,127.50/x
3. Step 3: Cross multiply
   51,543x = 75,127.50 × 75,127.50
4. Step 4: Simplify right side
   51,543x = 5,644,141,256.25
5. Step 5: Solve for x
   x = 5,644,141,256.25/51,543
6. Step 6: Final answer
   x = 109,503.55