Finding the Third Proportional to 36,222.75 and 77,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,222.75 : 77,801.50 = 77,801.50 : x
2. Step 2: Convert to fraction form
   36,222.75/77,801.50 = 77,801.50/x
3. Step 3: Cross multiply
   36,222.75x = 77,801.50 × 77,801.50
4. Step 4: Simplify right side
   36,222.75x = 6,053,073,402.25
5. Step 5: Solve for x
   x = 6,053,073,402.25/36,222.75
6. Step 6: Final answer
   x = 167,106.95