Finding the Third Proportional to 42,564 and 59,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,564 : 59,650.50 = 59,650.50 : x
2. Step 2: Convert to fraction form
   42,564/59,650.50 = 59,650.50/x
3. Step 3: Cross multiply
   42,564x = 59,650.50 × 59,650.50
4. Step 4: Simplify right side
   42,564x = 3,558,182,150.25
5. Step 5: Solve for x
   x = 3,558,182,150.25/42,564
6. Step 6: Final answer
   x = 83,596.05