Finding the Third Proportional to 32,490 and 69,814.69

Step by Step Solution

1. Step 1: Write the proportion equation
   32,490 : 69,814.69 = 69,814.69 : x
2. Step 2: Convert to fraction form
   32,490/69,814.69 = 69,814.69/x
3. Step 3: Cross multiply
   32,490x = 69,814.69 × 69,814.69
4. Step 4: Simplify right side
   32,490x = 4,874,090,590.72
5. Step 5: Solve for x
   x = 4,874,090,590.72/32,490
6. Step 6: Final answer
   x = 150,018.18