Finding the Third Proportional to 36,581 and 53,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,581 : 53,477.50 = 53,477.50 : x
2. Step 2: Convert to fraction form
   36,581/53,477.50 = 53,477.50/x
3. Step 3: Cross multiply
   36,581x = 53,477.50 × 53,477.50
4. Step 4: Simplify right side
   36,581x = 2,859,843,006.25
5. Step 5: Solve for x
   x = 2,859,843,006.25/36,581
6. Step 6: Final answer
   x = 78,178.37