Finding the Third Proportional to 32,346 and 49,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,346 : 49,102.50 = 49,102.50 : x
2. Step 2: Convert to fraction form
   32,346/49,102.50 = 49,102.50/x
3. Step 3: Cross multiply
   32,346x = 49,102.50 × 49,102.50
4. Step 4: Simplify right side
   32,346x = 2,411,055,506.25
5. Step 5: Solve for x
   x = 2,411,055,506.25/32,346
6. Step 6: Final answer
   x = 74,539.53