Finding the Third Proportional to 31,278 and 46,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,278 : 46,783.50 = 46,783.50 : x
2. Step 2: Convert to fraction form
   31,278/46,783.50 = 46,783.50/x
3. Step 3: Cross multiply
   31,278x = 46,783.50 × 46,783.50
4. Step 4: Simplify right side
   31,278x = 2,188,695,872.25
5. Step 5: Solve for x
   x = 2,188,695,872.25/31,278
6. Step 6: Final answer
   x = 69,975.57