Finding the Third Proportional to 33,594 and 67,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,594 : 67,186.50 = 67,186.50 : x
2. Step 2: Convert to fraction form
   33,594/67,186.50 = 67,186.50/x
3. Step 3: Cross multiply
   33,594x = 67,186.50 × 67,186.50
4. Step 4: Simplify right side
   33,594x = 4,514,025,782.25
5. Step 5: Solve for x
   x = 4,514,025,782.25/33,594
6. Step 6: Final answer
   x = 134,370.00