Finding the Third Proportional to 31,563 and 67,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,563 : 67,894.50 = 67,894.50 : x
2. Step 2: Convert to fraction form
   31,563/67,894.50 = 67,894.50/x
3. Step 3: Cross multiply
   31,563x = 67,894.50 × 67,894.50
4. Step 4: Simplify right side
   31,563x = 4,609,663,130.25
5. Step 5: Solve for x
   x = 4,609,663,130.25/31,563
6. Step 6: Final answer
   x = 146,046.42