Finding the Third Proportional to 38,620 and 84,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,620 : 84,621.50 = 84,621.50 : x
2. Step 2: Convert to fraction form
   38,620/84,621.50 = 84,621.50/x
3. Step 3: Cross multiply
   38,620x = 84,621.50 × 84,621.50
4. Step 4: Simplify right side
   38,620x = 7,160,798,262.25
5. Step 5: Solve for x
   x = 7,160,798,262.25/38,620
6. Step 6: Final answer
   x = 185,416.84