Finding the Third Proportional to 34,875 and 53,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,875 : 53,779.50 = 53,779.50 : x
2. Step 2: Convert to fraction form
   34,875/53,779.50 = 53,779.50/x
3. Step 3: Cross multiply
   34,875x = 53,779.50 × 53,779.50
4. Step 4: Simplify right side
   34,875x = 2,892,234,620.25
5. Step 5: Solve for x
   x = 2,892,234,620.25/34,875
6. Step 6: Final answer
   x = 82,931.46