Finding the Third Proportional to 35,746.31 and 52,510.78

Step by Step Solution

1. Step 1: Write the proportion equation
   35,746.31 : 52,510.78 = 52,510.78 : x
2. Step 2: Convert to fraction form
   35,746.31/52,510.78 = 52,510.78/x
3. Step 3: Cross multiply
   35,746.31x = 52,510.78 × 52,510.78
4. Step 4: Simplify right side
   35,746.31x = 2,757,382,147.49
5. Step 5: Solve for x
   x = 2,757,382,147.49/35,746.31
6. Step 6: Final answer
   x = 77,137.53