Finding the Third Proportional to 17,914.61 and 37,802.64

Step by Step Solution

1. Step 1: Write the proportion equation
   17,914.61 : 37,802.64 = 37,802.64 : x
2. Step 2: Convert to fraction form
   17,914.61/37,802.64 = 37,802.64/x
3. Step 3: Cross multiply
   17,914.61x = 37,802.64 × 37,802.64
4. Step 4: Simplify right side
   17,914.61x = 1,429,039,342.89
5. Step 5: Solve for x
   x = 1,429,039,342.89/17,914.61
6. Step 6: Final answer
   x = 79,769.51