Finding the Third Proportional to 38,832 and 58,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,832 : 58,186.50 = 58,186.50 : x
2. Step 2: Convert to fraction form
   38,832/58,186.50 = 58,186.50/x
3. Step 3: Cross multiply
   38,832x = 58,186.50 × 58,186.50
4. Step 4: Simplify right side
   38,832x = 3,385,668,782.25
5. Step 5: Solve for x
   x = 3,385,668,782.25/38,832
6. Step 6: Final answer
   x = 87,187.60