Finding the Third Proportional to 34,643 and 74,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,643 : 74,024.50 = 74,024.50 : x
2. Step 2: Convert to fraction form
   34,643/74,024.50 = 74,024.50/x
3. Step 3: Cross multiply
   34,643x = 74,024.50 × 74,024.50
4. Step 4: Simplify right side
   34,643x = 5,479,626,600.25
5. Step 5: Solve for x
   x = 5,479,626,600.25/34,643
6. Step 6: Final answer
   x = 158,174.14