Finding the Third Proportional to 32,046 and 74,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,046 : 74,185.50 = 74,185.50 : x
2. Step 2: Convert to fraction form
   32,046/74,185.50 = 74,185.50/x
3. Step 3: Cross multiply
   32,046x = 74,185.50 × 74,185.50
4. Step 4: Simplify right side
   32,046x = 5,503,488,410.25
5. Step 5: Solve for x
   x = 5,503,488,410.25/32,046
6. Step 6: Final answer
   x = 171,737.14