Finding the Third Proportional to 34,507 and 48,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,507 : 48,580.50 = 48,580.50 : x
2. Step 2: Convert to fraction form
   34,507/48,580.50 = 48,580.50/x
3. Step 3: Cross multiply
   34,507x = 48,580.50 × 48,580.50
4. Step 4: Simplify right side
   34,507x = 2,360,064,980.25
5. Step 5: Solve for x
   x = 2,360,064,980.25/34,507
6. Step 6: Final answer
   x = 68,393.80