Finding the Third Proportional to 37,012.50 and 81,406.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,012.50 : 81,406.13 = 81,406.13 : x
2. Step 2: Convert to fraction form
   37,012.50/81,406.13 = 81,406.13/x
3. Step 3: Cross multiply
   37,012.50x = 81,406.13 × 81,406.13
4. Step 4: Simplify right side
   37,012.50x = 6,626,957,187.52
5. Step 5: Solve for x
   x = 6,626,957,187.52/37,012.50
6. Step 6: Final answer
   x = 179,046.46