Finding the Third Proportional to 35,567.23 and 78,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,567.23 : 78,666.50 = 78,666.50 : x
2. Step 2: Convert to fraction form
   35,567.23/78,666.50 = 78,666.50/x
3. Step 3: Cross multiply
   35,567.23x = 78,666.50 × 78,666.50
4. Step 4: Simplify right side
   35,567.23x = 6,188,418,836.83
5. Step 5: Solve for x
   x = 6,188,418,836.83/35,567.23
6. Step 6: Final answer
   x = 173,992.17