Finding the Third Proportional to 29,623 and 64,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,623 : 64,986.50 = 64,986.50 : x
2. Step 2: Convert to fraction form
   29,623/64,986.50 = 64,986.50/x
3. Step 3: Cross multiply
   29,623x = 64,986.50 × 64,986.50
4. Step 4: Simplify right side
   29,623x = 4,223,245,182.25
5. Step 5: Solve for x
   x = 4,223,245,182.25/29,623
6. Step 6: Final answer
   x = 142,566.42