Finding the Third Proportional to 32,172.25 and 46,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,172.25 : 46,412.50 = 46,412.50 : x
2. Step 2: Convert to fraction form
   32,172.25/46,412.50 = 46,412.50/x
3. Step 3: Cross multiply
   32,172.25x = 46,412.50 × 46,412.50
4. Step 4: Simplify right side
   32,172.25x = 2,154,120,156.25
5. Step 5: Solve for x
   x = 2,154,120,156.25/32,172.25
6. Step 6: Final answer
   x = 66,955.84