Finding the Third Proportional to 31,562 and 47,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,562 : 47,424.50 = 47,424.50 : x
2. Step 2: Convert to fraction form
   31,562/47,424.50 = 47,424.50/x
3. Step 3: Cross multiply
   31,562x = 47,424.50 × 47,424.50
4. Step 4: Simplify right side
   31,562x = 2,249,083,200.25
5. Step 5: Solve for x
   x = 2,249,083,200.25/31,562
6. Step 6: Final answer
   x = 71,259.21