Finding the Third Proportional to 35,715 and 77,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,715 : 77,779.50 = 77,779.50 : x
2. Step 2: Convert to fraction form
   35,715/77,779.50 = 77,779.50/x
3. Step 3: Cross multiply
   35,715x = 77,779.50 × 77,779.50
4. Step 4: Simplify right side
   35,715x = 6,049,650,620.25
5. Step 5: Solve for x
   x = 6,049,650,620.25/35,715
6. Step 6: Final answer
   x = 169,386.83