Finding the Third Proportional to 34,767 and 84,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,767 : 84,037.50 = 84,037.50 : x
2. Step 2: Convert to fraction form
   34,767/84,037.50 = 84,037.50/x
3. Step 3: Cross multiply
   34,767x = 84,037.50 × 84,037.50
4. Step 4: Simplify right side
   34,767x = 7,062,301,406.25
5. Step 5: Solve for x
   x = 7,062,301,406.25/34,767
6. Step 6: Final answer
   x = 203,132.32