Finding the Third Proportional to 37,210.50 and 81,407.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,210.50 : 81,407.25 = 81,407.25 : x
2. Step 2: Convert to fraction form
   37,210.50/81,407.25 = 81,407.25/x
3. Step 3: Cross multiply
   37,210.50x = 81,407.25 × 81,407.25
4. Step 4: Simplify right side
   37,210.50x = 6,627,140,352.56
5. Step 5: Solve for x
   x = 6,627,140,352.56/37,210.50
6. Step 6: Final answer
   x = 178,098.66