Finding the Third Proportional to 37,508.06 and 81,455.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,508.06 : 81,455.63 = 81,455.63 : x
2. Step 2: Convert to fraction form
   37,508.06/81,455.63 = 81,455.63/x
3. Step 3: Cross multiply
   37,508.06x = 81,455.63 × 81,455.63
4. Step 4: Simplify right side
   37,508.06x = 6,635,018,844.14
5. Step 5: Solve for x
   x = 6,635,018,844.14/37,508.06
6. Step 6: Final answer
   x = 176,895.80