Finding the Third Proportional to 30,853.50 and 46,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,853.50 : 46,077.50 = 46,077.50 : x
2. Step 2: Convert to fraction form
   30,853.50/46,077.50 = 46,077.50/x
3. Step 3: Cross multiply
   30,853.50x = 46,077.50 × 46,077.50
4. Step 4: Simplify right side
   30,853.50x = 2,123,136,006.25
5. Step 5: Solve for x
   x = 2,123,136,006.25/30,853.50
6. Step 6: Final answer
   x = 68,813.46