Finding the Third Proportional to 37,346.63 and 81,686.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,346.63 : 81,686.25 = 81,686.25 : x
2. Step 2: Convert to fraction form
   37,346.63/81,686.25 = 81,686.25/x
3. Step 3: Cross multiply
   37,346.63x = 81,686.25 × 81,686.25
4. Step 4: Simplify right side
   37,346.63x = 6,672,643,439.06
5. Step 5: Solve for x
   x = 6,672,643,439.06/37,346.63
6. Step 6: Final answer
   x = 178,667.91