Finding the Third Proportional to 37,946.06 and 83,532.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,946.06 : 83,532.56 = 83,532.56 : x
2. Step 2: Convert to fraction form
   37,946.06/83,532.56 = 83,532.56/x
3. Step 3: Cross multiply
   37,946.06x = 83,532.56 × 83,532.56
4. Step 4: Simplify right side
   37,946.06x = 6,977,688,997.82
5. Step 5: Solve for x
   x = 6,977,688,997.82/37,946.06
6. Step 6: Final answer
   x = 183,884.40