Finding the Third Proportional to 39,594 and 84,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,594 : 84,046.50 = 84,046.50 : x
2. Step 2: Convert to fraction form
   39,594/84,046.50 = 84,046.50/x
3. Step 3: Cross multiply
   39,594x = 84,046.50 × 84,046.50
4. Step 4: Simplify right side
   39,594x = 7,063,814,162.25
5. Step 5: Solve for x
   x = 7,063,814,162.25/39,594
6. Step 6: Final answer
   x = 178,406.18