Finding the Third Proportional to 38,937 and 84,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,937 : 84,709.50 = 84,709.50 : x
2. Step 2: Convert to fraction form
   38,937/84,709.50 = 84,709.50/x
3. Step 3: Cross multiply
   38,937x = 84,709.50 × 84,709.50
4. Step 4: Simplify right side
   38,937x = 7,175,699,390.25
5. Step 5: Solve for x
   x = 7,175,699,390.25/38,937
6. Step 6: Final answer
   x = 184,289.99