Finding the Third Proportional to 38,214 and 83,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,214 : 83,991.50 = 83,991.50 : x
2. Step 2: Convert to fraction form
   38,214/83,991.50 = 83,991.50/x
3. Step 3: Cross multiply
   38,214x = 83,991.50 × 83,991.50
4. Step 4: Simplify right side
   38,214x = 7,054,572,072.25
5. Step 5: Solve for x
   x = 7,054,572,072.25/38,214
6. Step 6: Final answer
   x = 184,607.00