Finding the Third Proportional to 34,769 and 74,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,769 : 74,779.50 = 74,779.50 : x
2. Step 2: Convert to fraction form
   34,769/74,779.50 = 74,779.50/x
3. Step 3: Cross multiply
   34,769x = 74,779.50 × 74,779.50
4. Step 4: Simplify right side
   34,769x = 5,591,973,620.25
5. Step 5: Solve for x
   x = 5,591,973,620.25/34,769
6. Step 6: Final answer
   x = 160,832.17