Finding the Third Proportional to 37,113 and 80,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,113 : 80,887.50 = 80,887.50 : x
2. Step 2: Convert to fraction form
   37,113/80,887.50 = 80,887.50/x
3. Step 3: Cross multiply
   37,113x = 80,887.50 × 80,887.50
4. Step 4: Simplify right side
   37,113x = 6,542,787,656.25
5. Step 5: Solve for x
   x = 6,542,787,656.25/37,113
6. Step 6: Final answer
   x = 176,293.69