Finding the Third Proportional to 52,581 and 75,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,581 : 75,118.50 = 75,118.50 : x
2. Step 2: Convert to fraction form
   52,581/75,118.50 = 75,118.50/x
3. Step 3: Cross multiply
   52,581x = 75,118.50 × 75,118.50
4. Step 4: Simplify right side
   52,581x = 5,642,789,042.25
5. Step 5: Solve for x
   x = 5,642,789,042.25/52,581
6. Step 6: Final answer
   x = 107,316.12