Finding the Third Proportional to 34,215.19 and 75,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,215.19 : 75,091.50 = 75,091.50 : x
2. Step 2: Convert to fraction form
   34,215.19/75,091.50 = 75,091.50/x
3. Step 3: Cross multiply
   34,215.19x = 75,091.50 × 75,091.50
4. Step 4: Simplify right side
   34,215.19x = 5,638,733,372.25
5. Step 5: Solve for x
   x = 5,638,733,372.25/34,215.19
6. Step 6: Final answer
   x = 164,802.06