Finding the Third Proportional to 51,293 and 81,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,293 : 81,152.50 = 81,152.50 : x
2. Step 2: Convert to fraction form
   51,293/81,152.50 = 81,152.50/x
3. Step 3: Cross multiply
   51,293x = 81,152.50 × 81,152.50
4. Step 4: Simplify right side
   51,293x = 6,585,728,256.25
5. Step 5: Solve for x
   x = 6,585,728,256.25/51,293
6. Step 6: Final answer
   x = 128,394.29