Finding the Third Proportional to 40,032 and 86,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,032 : 86,638.50 = 86,638.50 : x
2. Step 2: Convert to fraction form
   40,032/86,638.50 = 86,638.50/x
3. Step 3: Cross multiply
   40,032x = 86,638.50 × 86,638.50
4. Step 4: Simplify right side
   40,032x = 7,506,229,682.25
5. Step 5: Solve for x
   x = 7,506,229,682.25/40,032
6. Step 6: Final answer
   x = 187,505.74