Finding the Third Proportional to 42,133.50 and 91,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,133.50 : 91,705.50 = 91,705.50 : x
2. Step 2: Convert to fraction form
   42,133.50/91,705.50 = 91,705.50/x
3. Step 3: Cross multiply
   42,133.50x = 91,705.50 × 91,705.50
4. Step 4: Simplify right side
   42,133.50x = 8,409,898,730.25
5. Step 5: Solve for x
   x = 8,409,898,730.25/42,133.50
6. Step 6: Final answer
   x = 199,601.24