Finding the Third Proportional to 34,899.50 and 76,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,899.50 : 76,317.50 = 76,317.50 : x
2. Step 2: Convert to fraction form
   34,899.50/76,317.50 = 76,317.50/x
3. Step 3: Cross multiply
   34,899.50x = 76,317.50 × 76,317.50
4. Step 4: Simplify right side
   34,899.50x = 5,824,360,806.25
5. Step 5: Solve for x
   x = 5,824,360,806.25/34,899.50
6. Step 6: Final answer
   x = 166,889.52