Finding the Third Proportional to 53,741 and 84,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,741 : 84,733.50 = 84,733.50 : x
2. Step 2: Convert to fraction form
   53,741/84,733.50 = 84,733.50/x
3. Step 3: Cross multiply
   53,741x = 84,733.50 × 84,733.50
4. Step 4: Simplify right side
   53,741x = 7,179,766,022.25
5. Step 5: Solve for x
   x = 7,179,766,022.25/53,741
6. Step 6: Final answer
   x = 133,599.41