Finding the Third Proportional to 46,770 and 71,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,770 : 71,322.50 = 71,322.50 : x
2. Step 2: Convert to fraction form
   46,770/71,322.50 = 71,322.50/x
3. Step 3: Cross multiply
   46,770x = 71,322.50 × 71,322.50
4. Step 4: Simplify right side
   46,770x = 5,086,899,006.25
5. Step 5: Solve for x
   x = 5,086,899,006.25/46,770
6. Step 6: Final answer
   x = 108,764.14