Finding the Third Proportional to 36,786 and 52,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,786 : 52,009.50 = 52,009.50 : x
2. Step 2: Convert to fraction form
   36,786/52,009.50 = 52,009.50/x
3. Step 3: Cross multiply
   36,786x = 52,009.50 × 52,009.50
4. Step 4: Simplify right side
   36,786x = 2,704,988,090.25
5. Step 5: Solve for x
   x = 2,704,988,090.25/36,786
6. Step 6: Final answer
   x = 73,533.09