Finding the Third Proportional to 16,564 and 35,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,564 : 35,768.50 = 35,768.50 : x
2. Step 2: Convert to fraction form
   16,564/35,768.50 = 35,768.50/x
3. Step 3: Cross multiply
   16,564x = 35,768.50 × 35,768.50
4. Step 4: Simplify right side
   16,564x = 1,279,385,592.25
5. Step 5: Solve for x
   x = 1,279,385,592.25/16,564
6. Step 6: Final answer
   x = 77,238.93