Finding the Third Proportional to 40,026 and 57,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,026 : 57,970.50 = 57,970.50 : x
2. Step 2: Convert to fraction form
   40,026/57,970.50 = 57,970.50/x
3. Step 3: Cross multiply
   40,026x = 57,970.50 × 57,970.50
4. Step 4: Simplify right side
   40,026x = 3,360,578,870.25
5. Step 5: Solve for x
   x = 3,360,578,870.25/40,026
6. Step 6: Final answer
   x = 83,959.90