Finding the Third Proportional to 37,512 and 81,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,512 : 81,580.50 = 81,580.50 : x
2. Step 2: Convert to fraction form
   37,512/81,580.50 = 81,580.50/x
3. Step 3: Cross multiply
   37,512x = 81,580.50 × 81,580.50
4. Step 4: Simplify right side
   37,512x = 6,655,377,980.25
5. Step 5: Solve for x
   x = 6,655,377,980.25/37,512
6. Step 6: Final answer
   x = 177,419.97