Finding the Third Proportional to 35,812.13 and 81,511.31

Step by Step Solution

1. Step 1: Write the proportion equation
   35,812.13 : 81,511.31 = 81,511.31 : x
2. Step 2: Convert to fraction form
   35,812.13/81,511.31 = 81,511.31/x
3. Step 3: Cross multiply
   35,812.13x = 81,511.31 × 81,511.31
4. Step 4: Simplify right side
   35,812.13x = 6,644,094,065.47
5. Step 5: Solve for x
   x = 6,644,094,065.47/35,812.13
6. Step 6: Final answer
   x = 185,526.38