Finding the Third Proportional to 42,581 and 87,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,581 : 87,895.50 = 87,895.50 : x
2. Step 2: Convert to fraction form
   42,581/87,895.50 = 87,895.50/x
3. Step 3: Cross multiply
   42,581x = 87,895.50 × 87,895.50
4. Step 4: Simplify right side
   42,581x = 7,725,618,920.25
5. Step 5: Solve for x
   x = 7,725,618,920.25/42,581
6. Step 6: Final answer
   x = 181,433.48