Finding the Third Proportional to 36,300.50 and 77,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,300.50 : 77,853.50 = 77,853.50 : x
2. Step 2: Convert to fraction form
   36,300.50/77,853.50 = 77,853.50/x
3. Step 3: Cross multiply
   36,300.50x = 77,853.50 × 77,853.50
4. Step 4: Simplify right side
   36,300.50x = 6,061,167,462.25
5. Step 5: Solve for x
   x = 6,061,167,462.25/36,300.50
6. Step 6: Final answer
   x = 166,972.01