Finding the Third Proportional to 33,420.09 and 76,374.14

Step by Step Solution

1. Step 1: Write the proportion equation
   33,420.09 : 76,374.14 = 76,374.14 : x
2. Step 2: Convert to fraction form
   33,420.09/76,374.14 = 76,374.14/x
3. Step 3: Cross multiply
   33,420.09x = 76,374.14 × 76,374.14
4. Step 4: Simplify right side
   33,420.09x = 5,833,009,356.21
5. Step 5: Solve for x
   x = 5,833,009,356.21/33,420.09
6. Step 6: Final answer
   x = 174,536.00