Finding the Third Proportional to 32,077.50 and 74,340

Step by Step Solution

1. Step 1: Write the proportion equation
   32,077.50 : 74,340 = 74,340 : x
2. Step 2: Convert to fraction form
   32,077.50/74,340 = 74,340/x
3. Step 3: Cross multiply
   32,077.50x = 74,340 × 74,340
4. Step 4: Simplify right side
   32,077.50x = 5,526,435,600
5. Step 5: Solve for x
   x = 5,526,435,600/32,077.50
6. Step 6: Final answer
   x = 172,283.86