Finding the Third Proportional to 36,126 and 53,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,126 : 53,095.50 = 53,095.50 : x
2. Step 2: Convert to fraction form
   36,126/53,095.50 = 53,095.50/x
3. Step 3: Cross multiply
   36,126x = 53,095.50 × 53,095.50
4. Step 4: Simplify right side
   36,126x = 2,819,132,120.25
5. Step 5: Solve for x
   x = 2,819,132,120.25/36,126
6. Step 6: Final answer
   x = 78,036.10