Finding the Third Proportional to 31,461 and 46,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,461 : 46,765.50 = 46,765.50 : x
2. Step 2: Convert to fraction form
   31,461/46,765.50 = 46,765.50/x
3. Step 3: Cross multiply
   31,461x = 46,765.50 × 46,765.50
4. Step 4: Simplify right side
   31,461x = 2,187,011,990.25
5. Step 5: Solve for x
   x = 2,187,011,990.25/31,461
6. Step 6: Final answer
   x = 69,515.02