Finding the Third Proportional to 31,284 and 46,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,284 : 46,966.50 = 46,966.50 : x
2. Step 2: Convert to fraction form
   31,284/46,966.50 = 46,966.50/x
3. Step 3: Cross multiply
   31,284x = 46,966.50 × 46,966.50
4. Step 4: Simplify right side
   31,284x = 2,205,852,122.25
5. Step 5: Solve for x
   x = 2,205,852,122.25/31,284
6. Step 6: Final answer
   x = 70,510.55