Finding the Third Proportional to 38,410 and 84,116

Step by Step Solution

1. Step 1: Write the proportion equation
   38,410 : 84,116 = 84,116 : x
2. Step 2: Convert to fraction form
   38,410/84,116 = 84,116/x
3. Step 3: Cross multiply
   38,410x = 84,116 × 84,116
4. Step 4: Simplify right side
   38,410x = 7,075,501,456
5. Step 5: Solve for x
   x = 7,075,501,456/38,410
6. Step 6: Final answer
   x = 184,209.88