Finding the Third Proportional to 13,705 and 32,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,705 : 32,042.50 = 32,042.50 : x
2. Step 2: Convert to fraction form
   13,705/32,042.50 = 32,042.50/x
3. Step 3: Cross multiply
   13,705x = 32,042.50 × 32,042.50
4. Step 4: Simplify right side
   13,705x = 1,026,721,806.25
5. Step 5: Solve for x
   x = 1,026,721,806.25/13,705
6. Step 6: Final answer
   x = 74,915.86