Finding the Third Proportional to 37,880 and 83,146

Step by Step Solution

1. Step 1: Write the proportion equation
   37,880 : 83,146 = 83,146 : x
2. Step 2: Convert to fraction form
   37,880/83,146 = 83,146/x
3. Step 3: Cross multiply
   37,880x = 83,146 × 83,146
4. Step 4: Simplify right side
   37,880x = 6,913,257,316
5. Step 5: Solve for x
   x = 6,913,257,316/37,880
6. Step 6: Final answer
   x = 182,504.15