Finding the Third Proportional to 30,786 and 46,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,786 : 46,402.50 = 46,402.50 : x
2. Step 2: Convert to fraction form
   30,786/46,402.50 = 46,402.50/x
3. Step 3: Cross multiply
   30,786x = 46,402.50 × 46,402.50
4. Step 4: Simplify right side
   30,786x = 2,153,192,006.25
5. Step 5: Solve for x
   x = 2,153,192,006.25/30,786
6. Step 6: Final answer
   x = 69,940.62