Finding the Third Proportional to 37,921.29 and 84,259.93

Step by Step Solution

1. Step 1: Write the proportion equation
   37,921.29 : 84,259.93 = 84,259.93 : x
2. Step 2: Convert to fraction form
   37,921.29/84,259.93 = 84,259.93/x
3. Step 3: Cross multiply
   37,921.29x = 84,259.93 × 84,259.93
4. Step 4: Simplify right side
   37,921.29x = 7,099,736,409.22
5. Step 5: Solve for x
   x = 7,099,736,409.22/37,921.29
6. Step 6: Final answer
   x = 187,222.97