Finding the Third Proportional to 35,013 and 51,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,013 : 51,970.50 = 51,970.50 : x
2. Step 2: Convert to fraction form
   35,013/51,970.50 = 51,970.50/x
3. Step 3: Cross multiply
   35,013x = 51,970.50 × 51,970.50
4. Step 4: Simplify right side
   35,013x = 2,700,932,870.25
5. Step 5: Solve for x
   x = 2,700,932,870.25/35,013
6. Step 6: Final answer
   x = 77,140.86